GCD of 108, 491, 438, 976 Calculator

Given Input numbers are 108, 491, 438, 976

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 491 :

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

1, 491

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (108, 491, 438, 976) = 1.

Given numbers are 108, 491, 438, 976

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 491 are 491

Prime factors of 438 are 2 x 3 x 73

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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

Given numbers are 108, 491, 438, 976

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

Apply this formula for all numbers.

Step1:

LCM(108, 491) = 53028

GCD(108, 491) = ( 108 x 491 ) / 53028

= 108 / 491

= 108

Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

Step3:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

So, Greatest Common Divisor of 108, 491, 438, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 892, 619, 651
• GCD of 548, 805, 233, 396
• GCD of 102, 175, 386, 562
• GCD of 600, 466, 173, 178
• GCD of 712, 947, 565, 177

Given numbers are 108, 491, 438, 976
The greatest common divisor of numbers 108, 491, 438, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 491, 438, 976 is 1.

1. What is the GCD of 108, 491, 438, 976?

GCD of given numbers 108, 491, 438, 976 is 1

2. How to calculate the greatest common divisor of 108, 491, 438, 976?

We can find the highest common divisor of 108, 491, 438, 976 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, 491, 438, 976 i.e 1.

3. How can I use the GCD of 108, 491, 438, 976Calculator?

Out the numbers 108, 491, 438, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.