GCD of 688, 276, 924, 632 Calculator

Given Input numbers are 688, 276, 924, 632

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (688, 276, 924, 632) = 4.

Given numbers are 688, 276, 924, 632

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 276 are 2 x 2 x 3 x 23

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

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2²

Therefore, GCD of 688, 276, 924, 632 is 4.

Given numbers are 688, 276, 924, 632

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

Apply this formula for all numbers.

Step1:

LCM(688, 276) = 47472

GCD(688, 276) = ( 688 x 276 ) / 47472

= 688 / 276

= 688

Step2:

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

= 4 / 924

= 4

Step3:

LCM(4, 632) = 632

GCD(4, 632) = ( 4 x 632 ) / 632

= 4 / 632

= 4

So, Greatest Common Divisor of 688, 276, 924, 632 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 829, 957, 955
• GCD of 193, 765, 656, 722
• GCD of 455, 192, 376, 678
• GCD of 231, 256, 994, 828
• GCD of 827, 174, 837, 637

Given numbers are 688, 276, 924, 632
The greatest common divisor of numbers 688, 276, 924, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 276, 924, 632 is 4.

1. What is the GCD of 688, 276, 924, 632?

GCD of given numbers 688, 276, 924, 632 is 4

2. How to calculate the greatest common divisor of 688, 276, 924, 632?

We can find the highest common divisor of 688, 276, 924, 632 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, 276, 924, 632 i.e 4.

3. How can I use the GCD of 688, 276, 924, 632Calculator?

Out the numbers 688, 276, 924, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.