GCD of 108, 508, 758 Calculator

Given Input numbers are 108, 508, 758

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (108, 508, 758) = 2.

Given numbers are 108, 508, 758

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 508 are 2 x 2 x 127

Prime factors of 758 are 2 x 379

The highest common occurrence is 2¹

Therefore, GCD of 108, 508, 758 is 2.

Given numbers are 108, 508, 758

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

Apply this formula for all numbers.

Step1:

LCM(108, 508) = 13716

GCD(108, 508) = ( 108 x 508 ) / 13716

= 108 / 508

= 108

Step2:

LCM(4, 758) = 1516

GCD(4, 758) = ( 4 x 758 ) / 1516

= 4 / 758

= 4

So, Greatest Common Divisor of 108, 508, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 684, 869
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Given numbers are 108, 508, 758
The greatest common divisor of numbers 108, 508, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 508, 758 is 2.

1. What is the GCD of 108, 508, 758?

GCD of given numbers 108, 508, 758 is 2

2. How to calculate the greatest common divisor of 108, 508, 758?

We can find the highest common divisor of 108, 508, 758 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 108, 508, 758 i.e 2.

3. How can I use the GCD of 108, 508, 758Calculator?

Out the numbers 108, 508, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.