GCD of 742, 868, 938, 928 Calculator

Given Input numbers are 742, 868, 938, 928

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 938 :

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

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

GCD of numbers is the greatest common divisor

So, the GCD (742, 868, 938, 928) = 2.

Given numbers are 742, 868, 938, 928

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 938 are 2 x 7 x 67

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 742, 868, 938, 928 is 2.

Given numbers are 742, 868, 938, 928

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

Apply this formula for all numbers.

Step1:

LCM(742, 868) = 46004

GCD(742, 868) = ( 742 x 868 ) / 46004

= 742 / 868

= 742

Step2:

LCM(14, 938) = 938

GCD(14, 938) = ( 14 x 938 ) / 938

= 14 / 938

= 14

Step3:

LCM(14, 928) = 6496

GCD(14, 928) = ( 14 x 928 ) / 6496

= 14 / 928

= 14

So, Greatest Common Divisor of 742, 868, 938, 928 is 2

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Given numbers are 742, 868, 938, 928
The greatest common divisor of numbers 742, 868, 938, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 868, 938, 928 is 2.

1. What is the GCD of 742, 868, 938, 928?

GCD of given numbers 742, 868, 938, 928 is 2

2. How to calculate the greatest common divisor of 742, 868, 938, 928?

We can find the highest common divisor of 742, 868, 938, 928 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 742, 868, 938, 928 i.e 2.

3. How can I use the GCD of 742, 868, 938, 928Calculator?

Out the numbers 742, 868, 938, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.