GCD of 938, 868, 570, 100 Calculator

Given Input numbers are 938, 868, 570, 100

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 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (938, 868, 570, 100) = 2.

Given numbers are 938, 868, 570, 100

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 938, 868, 570, 100 is 2.

Given numbers are 938, 868, 570, 100

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

Apply this formula for all numbers.

Step1:

LCM(938, 868) = 58156

GCD(938, 868) = ( 938 x 868 ) / 58156

= 938 / 868

= 938

Step2:

LCM(14, 570) = 3990

GCD(14, 570) = ( 14 x 570 ) / 3990

= 14 / 570

= 14

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 938, 868, 570, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 530, 591, 926
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Given numbers are 938, 868, 570, 100
The greatest common divisor of numbers 938, 868, 570, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 868, 570, 100 is 2.

1. What is the GCD of 938, 868, 570, 100?

GCD of given numbers 938, 868, 570, 100 is 2

2. How to calculate the greatest common divisor of 938, 868, 570, 100?

We can find the highest common divisor of 938, 868, 570, 100 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, 868, 570, 100 i.e 2.

3. How can I use the GCD of 938, 868, 570, 100Calculator?

Out the numbers 938, 868, 570, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.