GCD of 656, 422, 722, 782 Calculator

Given Input numbers are 656, 422, 722, 782

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (656, 422, 722, 782) = 2.

Given numbers are 656, 422, 722, 782

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 422 are 2 x 211

Prime factors of 722 are 2 x 19 x 19

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 656, 422, 722, 782 is 2.

Given numbers are 656, 422, 722, 782

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

Apply this formula for all numbers.

Step1:

LCM(656, 422) = 138416

GCD(656, 422) = ( 656 x 422 ) / 138416

= 656 / 422

= 656

Step2:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 656, 422, 722, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 579, 200, 321
• GCD of 263, 970, 687, 526
• GCD of 178, 366, 434, 485
• GCD of 772, 460, 909, 235
• GCD of 172, 857, 975, 772

Given numbers are 656, 422, 722, 782
The greatest common divisor of numbers 656, 422, 722, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 422, 722, 782 is 2.

1. What is the GCD of 656, 422, 722, 782?

GCD of given numbers 656, 422, 722, 782 is 2

2. How to calculate the greatest common divisor of 656, 422, 722, 782?

We can find the highest common divisor of 656, 422, 722, 782 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, 422, 722, 782 i.e 2.

3. How can I use the GCD of 656, 422, 722, 782Calculator?

Out the numbers 656, 422, 722, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.