GCD of 975, 664, 976, 109 Calculator

Given Input numbers are 975, 664, 976, 109

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

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 976 :

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

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (975, 664, 976, 109) = 1.

Given numbers are 975, 664, 976, 109

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 664 are 2 x 2 x 2 x 83

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

Prime factors of 109 are 109

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

Given numbers are 975, 664, 976, 109

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

Apply this formula for all numbers.

Step1:

LCM(975, 664) = 647400

GCD(975, 664) = ( 975 x 664 ) / 647400

= 975 / 664

= 975

Step2:

LCM(1, 976) = 976

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

= 1 / 976

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 975, 664, 976, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 427, 214, 980
• GCD of 765, 463, 605, 646
• GCD of 226, 387, 463, 582
• GCD of 556, 727, 742, 659
• GCD of 573, 354, 568, 240

Given numbers are 975, 664, 976, 109
The greatest common divisor of numbers 975, 664, 976, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 664, 976, 109 is 1.

1. What is the GCD of 975, 664, 976, 109?

GCD of given numbers 975, 664, 976, 109 is 1

2. How to calculate the greatest common divisor of 975, 664, 976, 109?

We can find the highest common divisor of 975, 664, 976, 109 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 975, 664, 976, 109 i.e 1.

3. How can I use the GCD of 975, 664, 976, 109Calculator?

Out the numbers 975, 664, 976, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.