GCD of 756, 959, 966 Calculator

Given Input numbers are 756, 959, 966

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 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

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

GCD of numbers is the greatest common divisor

So, the GCD (756, 959, 966) = 7.

Given numbers are 756, 959, 966

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 959 are 7 x 137

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

The highest common occurrence is 7¹

Therefore, GCD of 756, 959, 966 is 7.

Given numbers are 756, 959, 966

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

Apply this formula for all numbers.

Step1:

LCM(756, 959) = 103572

GCD(756, 959) = ( 756 x 959 ) / 103572

= 756 / 959

= 756

Step2:

LCM(7, 966) = 966

GCD(7, 966) = ( 7 x 966 ) / 966

= 7 / 966

= 7

So, Greatest Common Divisor of 756, 959, 966 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 323, 239
• GCD of 797, 222, 611
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• GCD of 492, 222, 152
• GCD of 178, 615, 174

Given numbers are 756, 959, 966
The greatest common divisor of numbers 756, 959, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 959, 966 is 7.

1. What is the GCD of 756, 959, 966?

GCD of given numbers 756, 959, 966 is 7

2. How to calculate the greatest common divisor of 756, 959, 966?

We can find the highest common divisor of 756, 959, 966 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, 959, 966 i.e 7.

3. How can I use the GCD of 756, 959, 966Calculator?

Out the numbers 756, 959, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.