GCD of 108, 975, 491, 498 Calculator

Given Input numbers are 108, 975, 491, 498

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (108, 975, 491, 498) = 1.

Given numbers are 108, 975, 491, 498

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 975 are 3 x 5 x 5 x 13

Prime factors of 491 are 491

Prime factors of 498 are 2 x 3 x 83

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

Given numbers are 108, 975, 491, 498

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

Apply this formula for all numbers.

Step1:

LCM(108, 975) = 35100

GCD(108, 975) = ( 108 x 975 ) / 35100

= 108 / 975

= 108

Step2:

LCM(3, 491) = 1473

GCD(3, 491) = ( 3 x 491 ) / 1473

= 3 / 491

= 3

Step3:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1

So, Greatest Common Divisor of 108, 975, 491, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 962, 623, 162
• GCD of 104, 763, 282, 760
• GCD of 480, 854, 499, 927
• GCD of 861, 635, 800, 338
• GCD of 974, 918, 750, 336

Given numbers are 108, 975, 491, 498
The greatest common divisor of numbers 108, 975, 491, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 975, 491, 498 is 1.

1. What is the GCD of 108, 975, 491, 498?

GCD of given numbers 108, 975, 491, 498 is 1

2. How to calculate the greatest common divisor of 108, 975, 491, 498?

We can find the highest common divisor of 108, 975, 491, 498 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, 975, 491, 498 i.e 1.

3. How can I use the GCD of 108, 975, 491, 498Calculator?

Out the numbers 108, 975, 491, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.