GCD of 936, 970, 786, 748 Calculator

Given Input numbers are 936, 970, 786, 748

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (936, 970, 786, 748) = 2.

Given numbers are 936, 970, 786, 748

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 970 are 2 x 5 x 97

Prime factors of 786 are 2 x 3 x 131

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 936, 970, 786, 748 is 2.

Given numbers are 936, 970, 786, 748

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

Apply this formula for all numbers.

Step1:

LCM(936, 970) = 453960

GCD(936, 970) = ( 936 x 970 ) / 453960

= 936 / 970

= 936

Step2:

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

= 2 / 786

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 936, 970, 786, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 518, 626, 141
• GCD of 164, 414, 400, 479
• GCD of 712, 226, 422, 604
• GCD of 949, 360, 320, 998
• GCD of 683, 150, 622, 172

Given numbers are 936, 970, 786, 748
The greatest common divisor of numbers 936, 970, 786, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 970, 786, 748 is 2.

1. What is the GCD of 936, 970, 786, 748?

GCD of given numbers 936, 970, 786, 748 is 2

2. How to calculate the greatest common divisor of 936, 970, 786, 748?

We can find the highest common divisor of 936, 970, 786, 748 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 936, 970, 786, 748 i.e 2.

3. How can I use the GCD of 936, 970, 786, 748Calculator?

Out the numbers 936, 970, 786, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.