GCD of 656, 504, 934, 742 Calculator

Given Input numbers are 656, 504, 934, 742

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 934 :

The positive integer divisors of 934 that completely divides 934 are.

1, 2, 467, 934

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (656, 504, 934, 742) = 2.

Given numbers are 656, 504, 934, 742

The list of prime factors of all numbers are

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 934 are 2 x 467

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 656, 504, 934, 742 is 2.

Given numbers are 656, 504, 934, 742

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

Apply this formula for all numbers.

Step1:

LCM(656, 504) = 41328

GCD(656, 504) = ( 656 x 504 ) / 41328

= 656 / 504

= 656

Step2:

LCM(8, 934) = 3736

GCD(8, 934) = ( 8 x 934 ) / 3736

= 8 / 934

= 8

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 656, 504, 934, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 122, 816, 277
• GCD of 837, 781, 626, 783
• GCD of 141, 273, 266, 357
• GCD of 863, 338, 157, 405
• GCD of 364, 427, 806, 364

Given numbers are 656, 504, 934, 742
The greatest common divisor of numbers 656, 504, 934, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 504, 934, 742 is 2.

1. What is the GCD of 656, 504, 934, 742?

GCD of given numbers 656, 504, 934, 742 is 2

2. How to calculate the greatest common divisor of 656, 504, 934, 742?

We can find the highest common divisor of 656, 504, 934, 742 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 656, 504, 934, 742 i.e 2.

3. How can I use the GCD of 656, 504, 934, 742Calculator?

Out the numbers 656, 504, 934, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.