GCD of 688, 920, 226, 924 Calculator

Given Input numbers are 688, 920, 226, 924

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (688, 920, 226, 924) = 2.

Given numbers are 688, 920, 226, 924

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 226 are 2 x 113

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 688, 920, 226, 924 is 2.

Given numbers are 688, 920, 226, 924

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

Apply this formula for all numbers.

Step1:

LCM(688, 920) = 79120

GCD(688, 920) = ( 688 x 920 ) / 79120

= 688 / 920

= 688

Step2:

LCM(8, 226) = 904

GCD(8, 226) = ( 8 x 226 ) / 904

= 8 / 226

= 8

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 688, 920, 226, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 322, 687, 786
• GCD of 303, 898, 338, 485
• GCD of 349, 657, 376, 255
• GCD of 726, 707, 999, 238
• GCD of 320, 477, 908, 426

Given numbers are 688, 920, 226, 924
The greatest common divisor of numbers 688, 920, 226, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 920, 226, 924 is 2.

1. What is the GCD of 688, 920, 226, 924?

GCD of given numbers 688, 920, 226, 924 is 2

2. How to calculate the greatest common divisor of 688, 920, 226, 924?

We can find the highest common divisor of 688, 920, 226, 924 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 688, 920, 226, 924 i.e 2.

3. How can I use the GCD of 688, 920, 226, 924Calculator?

Out the numbers 688, 920, 226, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.