GCD of 872, 980, 109, 171 Calculator

Given Input numbers are 872, 980, 109, 171

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 109 :

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

1, 109

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (872, 980, 109, 171) = 1.

Given numbers are 872, 980, 109, 171

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 109 are 109

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 872, 980, 109, 171

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

Apply this formula for all numbers.

Step1:

LCM(872, 980) = 213640

GCD(872, 980) = ( 872 x 980 ) / 213640

= 872 / 980

= 872

Step2:

LCM(4, 109) = 436

GCD(4, 109) = ( 4 x 109 ) / 436

= 4 / 109

= 4

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 872, 980, 109, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 609, 870, 921
• GCD of 258, 739, 936, 191
• GCD of 120, 372, 709, 121
• GCD of 492, 151, 527, 138
• GCD of 363, 579, 140, 105

Given numbers are 872, 980, 109, 171
The greatest common divisor of numbers 872, 980, 109, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 980, 109, 171 is 1.

1. What is the GCD of 872, 980, 109, 171?

GCD of given numbers 872, 980, 109, 171 is 1

2. How to calculate the greatest common divisor of 872, 980, 109, 171?

We can find the highest common divisor of 872, 980, 109, 171 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 872, 980, 109, 171 i.e 1.

3. How can I use the GCD of 872, 980, 109, 171Calculator?

Out the numbers 872, 980, 109, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.