GCD of 508, 407, 624, 120 Calculator

Given Input numbers are 508, 407, 624, 120

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

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (508, 407, 624, 120) = 1.

Given numbers are 508, 407, 624, 120

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 407 are 11 x 37

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 508, 407, 624, 120

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

Apply this formula for all numbers.

Step1:

LCM(508, 407) = 206756

GCD(508, 407) = ( 508 x 407 ) / 206756

= 508 / 407

= 508

Step2:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 508, 407, 624, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 983, 690, 220
• GCD of 346, 654, 418, 122
• GCD of 998, 703, 474, 469
• GCD of 843, 109, 623, 364
• GCD of 535, 806, 925, 738

Given numbers are 508, 407, 624, 120
The greatest common divisor of numbers 508, 407, 624, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 407, 624, 120 is 1.

1. What is the GCD of 508, 407, 624, 120?

GCD of given numbers 508, 407, 624, 120 is 1

2. How to calculate the greatest common divisor of 508, 407, 624, 120?

We can find the highest common divisor of 508, 407, 624, 120 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 508, 407, 624, 120 i.e 1.

3. How can I use the GCD of 508, 407, 624, 120Calculator?

Out the numbers 508, 407, 624, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.