GCD of 917, 638, 420, 508 Calculator

Given Input numbers are 917, 638, 420, 508

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 (917, 638, 420, 508) = 1.

Given numbers are 917, 638, 420, 508

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 638 are 2 x 11 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 917, 638, 420, 508

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

Apply this formula for all numbers.

Step1:

LCM(917, 638) = 585046

GCD(917, 638) = ( 917 x 638 ) / 585046

= 917 / 638

= 917

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 917, 638, 420, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 742, 997, 516
• GCD of 570, 708, 493, 511
• GCD of 763, 205, 893, 445
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• GCD of 753, 333, 239, 814

Given numbers are 917, 638, 420, 508
The greatest common divisor of numbers 917, 638, 420, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 638, 420, 508 is 1.

1. What is the GCD of 917, 638, 420, 508?

GCD of given numbers 917, 638, 420, 508 is 1

2. How to calculate the greatest common divisor of 917, 638, 420, 508?

We can find the highest common divisor of 917, 638, 420, 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 917, 638, 420, 508 i.e 1.

3. How can I use the GCD of 917, 638, 420, 508Calculator?

Out the numbers 917, 638, 420, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.