GCD of 938, 728, 970, 432 Calculator

Given Input numbers are 938, 728, 970, 432

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 970 :

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

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (938, 728, 970, 432) = 2.

Given numbers are 938, 728, 970, 432

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 970 are 2 x 5 x 97

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 938, 728, 970, 432 is 2.

Given numbers are 938, 728, 970, 432

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

Apply this formula for all numbers.

Step1:

LCM(938, 728) = 48776

GCD(938, 728) = ( 938 x 728 ) / 48776

= 938 / 728

= 938

Step2:

LCM(14, 970) = 6790

GCD(14, 970) = ( 14 x 970 ) / 6790

= 14 / 970

= 14

Step3:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

So, Greatest Common Divisor of 938, 728, 970, 432 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 302, 518, 541
• GCD of 216, 249, 668, 119
• GCD of 231, 672, 391, 177
• GCD of 484, 621, 722, 158
• GCD of 349, 242, 361, 151

Given numbers are 938, 728, 970, 432
The greatest common divisor of numbers 938, 728, 970, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 728, 970, 432 is 2.

1. What is the GCD of 938, 728, 970, 432?

GCD of given numbers 938, 728, 970, 432 is 2

2. How to calculate the greatest common divisor of 938, 728, 970, 432?

We can find the highest common divisor of 938, 728, 970, 432 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 938, 728, 970, 432 i.e 2.

3. How can I use the GCD of 938, 728, 970, 432Calculator?

Out the numbers 938, 728, 970, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.