GCD of 756, 966, 962, 982 Calculator

Given Input numbers are 756, 966, 962, 982

In the factoring method, we have to find the divisors of all numbers

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (756, 966, 962, 982) = 2.

Given numbers are 756, 966, 962, 982

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 962 are 2 x 13 x 37

Prime factors of 982 are 2 x 491

The highest common occurrence is 2¹

Therefore, GCD of 756, 966, 962, 982 is 2.

Given numbers are 756, 966, 962, 982

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(756, 966) = 17388

GCD(756, 966) = ( 756 x 966 ) / 17388

= 756 / 966

= 756

Step2:

LCM(42, 962) = 20202

GCD(42, 962) = ( 42 x 962 ) / 20202

= 42 / 962

= 42

Step3:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

So, Greatest Common Divisor of 756, 966, 962, 982 is 2

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Given numbers are 756, 966, 962, 982
The greatest common divisor of numbers 756, 966, 962, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 966, 962, 982 is 2.

1. What is the GCD of 756, 966, 962, 982?

GCD of given numbers 756, 966, 962, 982 is 2

2. How to calculate the greatest common divisor of 756, 966, 962, 982?

We can find the highest common divisor of 756, 966, 962, 982 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 756, 966, 962, 982 i.e 2.

3. How can I use the GCD of 756, 966, 962, 982Calculator?

Out the numbers 756, 966, 962, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.