GCD of 996, 860, 756, 971 Calculator

Given Input numbers are 996, 860, 756, 971

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (996, 860, 756, 971) = 1.

Given numbers are 996, 860, 756, 971

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 860 are 2 x 2 x 5 x 43

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

Prime factors of 971 are 971

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 996, 860, 756, 971

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

Apply this formula for all numbers.

Step1:

LCM(996, 860) = 214140

GCD(996, 860) = ( 996 x 860 ) / 214140

= 996 / 860

= 996

Step2:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4

Step3:

LCM(4, 971) = 3884

GCD(4, 971) = ( 4 x 971 ) / 3884

= 4 / 971

= 4

So, Greatest Common Divisor of 996, 860, 756, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 257, 370, 805
• GCD of 754, 110, 631, 683
• GCD of 978, 701, 833, 285
• GCD of 635, 846, 486, 517
• GCD of 137, 761, 198, 128

Given numbers are 996, 860, 756, 971
The greatest common divisor of numbers 996, 860, 756, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 860, 756, 971 is 1.

1. What is the GCD of 996, 860, 756, 971?

GCD of given numbers 996, 860, 756, 971 is 1

2. How to calculate the greatest common divisor of 996, 860, 756, 971?

We can find the highest common divisor of 996, 860, 756, 971 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 996, 860, 756, 971 i.e 1.

3. How can I use the GCD of 996, 860, 756, 971Calculator?

Out the numbers 996, 860, 756, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.