GCD of 920, 936, 654, 508 Calculator

Given Input numbers are 920, 936, 654, 508

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

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (920, 936, 654, 508) = 2.

Given numbers are 920, 936, 654, 508

The list of prime factors of all numbers are

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

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 654 are 2 x 3 x 109

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 920, 936, 654, 508 is 2.

Given numbers are 920, 936, 654, 508

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

Apply this formula for all numbers.

Step1:

LCM(920, 936) = 107640

GCD(920, 936) = ( 920 x 936 ) / 107640

= 920 / 936

= 920

Step2:

LCM(8, 654) = 2616

GCD(8, 654) = ( 8 x 654 ) / 2616

= 8 / 654

= 8

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 920, 936, 654, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 880, 702, 662
• GCD of 333, 874, 289, 462
• GCD of 528, 724, 836, 938
• GCD of 798, 460, 400, 345
• GCD of 924, 460, 575, 750

Given numbers are 920, 936, 654, 508
The greatest common divisor of numbers 920, 936, 654, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 936, 654, 508 is 2.

1. What is the GCD of 920, 936, 654, 508?

GCD of given numbers 920, 936, 654, 508 is 2

2. How to calculate the greatest common divisor of 920, 936, 654, 508?

We can find the highest common divisor of 920, 936, 654, 508 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 920, 936, 654, 508 i.e 2.

3. How can I use the GCD of 920, 936, 654, 508Calculator?

Out the numbers 920, 936, 654, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.