GCD of 624, 508, 286, 424 Calculator

Given Input numbers are 624, 508, 286, 424

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (624, 508, 286, 424) = 2.

Given numbers are 624, 508, 286, 424

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 508 are 2 x 2 x 127

Prime factors of 286 are 2 x 11 x 13

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 624, 508, 286, 424 is 2.

Given numbers are 624, 508, 286, 424

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

Apply this formula for all numbers.

Step1:

LCM(624, 508) = 79248

GCD(624, 508) = ( 624 x 508 ) / 79248

= 624 / 508

= 624

Step2:

LCM(4, 286) = 572

GCD(4, 286) = ( 4 x 286 ) / 572

= 4 / 286

= 4

Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

So, Greatest Common Divisor of 624, 508, 286, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 883, 324, 663
• GCD of 193, 777, 360, 595
• GCD of 767, 612, 836, 876
• GCD of 519, 456, 716, 381
• GCD of 464, 155, 381, 994

Given numbers are 624, 508, 286, 424
The greatest common divisor of numbers 624, 508, 286, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 508, 286, 424 is 2.

1. What is the GCD of 624, 508, 286, 424?

GCD of given numbers 624, 508, 286, 424 is 2

2. How to calculate the greatest common divisor of 624, 508, 286, 424?

We can find the highest common divisor of 624, 508, 286, 424 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 624, 508, 286, 424 i.e 2.

3. How can I use the GCD of 624, 508, 286, 424Calculator?

Out the numbers 624, 508, 286, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.