## What do you mean by GCD?

greatest common divisor

Definition of greatest common divisor : the largest integer or the polynomial of highest degree that is an exact divisor of each of two or more integers or polynomials. — called also greatest common factor.

## What is GCD and LCM in maths?

The least common multiple (LCM) of two integers is the smallest positive integer that is a multiple of both. The greatest common divisor (GCD) of two integers is the largest positive integer dividing both. The product of the two numbers is the product of the LCM and the GCD.

**What is the GCD of 10?**

10 has for divisors 1,2,5,10. 20 has for divisors 1,2,4,5,10,20. 25 has for divisors 1,5,25. The greatest common divisor is 5.

### How do you find the GCD of 4 numbers?

Let g=gcd(gcd(a,b),gcd(c,d)). Then by the definition g∣gcd(a,b) and since gcd(a,b)∣a,gcd(a,b)∣b therefore g∣a and g∣b. similarly g∣c and g∣d. So g is a common divisor of these four integers.

### What is the GCD of 3 and 6?

3

Therefore, the greatest common factor of 3 and 6 is 3. Example 3: For two numbers, GCF = 3 and LCM = 6. If one number is 3, find the other number. Therefore, the other number is 6.

**What is the GCD of 3 and 4?**

The Greatest Common Factor of 3 and 4 is 1.

#### What is the highest common factor of 50 and 90?

gcf(50,90) = 10.

#### What is the highest common factor of 30 and 45?

15

The GCF of 30 and 45 is 15. To calculate the greatest common factor of 30 and 45, we need to factor each number (factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30; factors of 45 = 1, 3, 5, 9, 15, 45) and choose the greatest factor that exactly divides both 30 and 45, i.e., 15.

**What is the greatest common factor of 8 28 and 48?**

The biggest common factor number is the GCF number. So the greatest common factor 8,28,48 is 4.

## What is the GCD of 20?

20 has for divisors 1,2,4,5,10,20. 25 has for divisors 1,5,25. The greatest common divisor is 5.

## What is the prime factorization of the number 350?

So, the prime factorization of 350 can be written as 21 × 52 × 71 where 2, 5, 7 are prime.

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