GCD of 109, 979, 840, 875 Calculator

Given Input numbers are 109, 979, 840, 875

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

Divisors of 109 :

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

1, 109

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

GCD of numbers is the greatest common divisor

So, the GCD (109, 979, 840, 875) = 1.

Given numbers are 109, 979, 840, 875

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 979 are 11 x 89

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 875 are 5 x 5 x 5 x 7

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

Given numbers are 109, 979, 840, 875

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

Apply this formula for all numbers.

Step1:

LCM(109, 979) = 106711

GCD(109, 979) = ( 109 x 979 ) / 106711

= 109 / 979

= 109

Step2:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

Step3:

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

= 1 / 875

= 1

So, Greatest Common Divisor of 109, 979, 840, 875 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 921, 432, 938
• GCD of 764, 530, 242, 998
• GCD of 736, 930, 966, 708
• GCD of 313, 781, 480, 162
• GCD of 345, 321, 949, 713

Given numbers are 109, 979, 840, 875
The greatest common divisor of numbers 109, 979, 840, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 979, 840, 875 is 1.

1. What is the GCD of 109, 979, 840, 875?

GCD of given numbers 109, 979, 840, 875 is 1

2. How to calculate the greatest common divisor of 109, 979, 840, 875?

We can find the highest common divisor of 109, 979, 840, 875 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 109, 979, 840, 875 i.e 1.

3. How can I use the GCD of 109, 979, 840, 875Calculator?

Out the numbers 109, 979, 840, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.