GCD of 656, 774, 698 Calculator

Given Input numbers are 656, 774, 698

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (656, 774, 698) = 2.

Given numbers are 656, 774, 698

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 774 are 2 x 3 x 3 x 43

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 656, 774, 698 is 2.

Given numbers are 656, 774, 698

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

Apply this formula for all numbers.

Step1:

LCM(656, 774) = 253872

GCD(656, 774) = ( 656 x 774 ) / 253872

= 656 / 774

= 656

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 656, 774, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 244, 651
• GCD of 801, 445, 126
• GCD of 521, 461, 627
• GCD of 256, 402, 836
• GCD of 812, 383, 932

Given numbers are 656, 774, 698
The greatest common divisor of numbers 656, 774, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 774, 698 is 2.

1. What is the GCD of 656, 774, 698?

GCD of given numbers 656, 774, 698 is 2

2. How to calculate the greatest common divisor of 656, 774, 698?

We can find the highest common divisor of 656, 774, 698 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, 774, 698 i.e 2.

3. How can I use the GCD of 656, 774, 698Calculator?

Out the numbers 656, 774, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.