GCD of 924, 896, 931, 686 Calculator

Given Input numbers are 924, 896, 931, 686

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

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (924, 896, 931, 686) = 7.

Given numbers are 924, 896, 931, 686

The list of prime factors of all numbers are

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

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 931 are 7 x 7 x 19

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 7¹

Therefore, GCD of 924, 896, 931, 686 is 7.

Given numbers are 924, 896, 931, 686

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

Apply this formula for all numbers.

Step1:

LCM(924, 896) = 29568

GCD(924, 896) = ( 924 x 896 ) / 29568

= 924 / 896

= 924

Step2:

LCM(28, 931) = 3724

GCD(28, 931) = ( 28 x 931 ) / 3724

= 28 / 931

= 28

Step3:

LCM(7, 686) = 686

GCD(7, 686) = ( 7 x 686 ) / 686

= 7 / 686

= 7

So, Greatest Common Divisor of 924, 896, 931, 686 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 975, 737, 380
• GCD of 776, 474, 931, 585
• GCD of 507, 311, 145, 952
• GCD of 210, 589, 735, 144
• GCD of 245, 170, 400, 521

Given numbers are 924, 896, 931, 686
The greatest common divisor of numbers 924, 896, 931, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 896, 931, 686 is 7.

1. What is the GCD of 924, 896, 931, 686?

GCD of given numbers 924, 896, 931, 686 is 7

2. How to calculate the greatest common divisor of 924, 896, 931, 686?

We can find the highest common divisor of 924, 896, 931, 686 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 924, 896, 931, 686 i.e 7.

3. How can I use the GCD of 924, 896, 931, 686Calculator?

Out the numbers 924, 896, 931, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.