GCD of 172, 874, 971, 180 Calculator

Given Input numbers are 172, 874, 971, 180

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (172, 874, 971, 180) = 1.

Given numbers are 172, 874, 971, 180

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 874 are 2 x 19 x 23

Prime factors of 971 are 971

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 172, 874, 971, 180

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

Apply this formula for all numbers.

Step1:

LCM(172, 874) = 75164

GCD(172, 874) = ( 172 x 874 ) / 75164

= 172 / 874

= 172

Step2:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 172, 874, 971, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 341, 225, 570
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Given numbers are 172, 874, 971, 180
The greatest common divisor of numbers 172, 874, 971, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 874, 971, 180 is 1.

1. What is the GCD of 172, 874, 971, 180?

GCD of given numbers 172, 874, 971, 180 is 1

2. How to calculate the greatest common divisor of 172, 874, 971, 180?

We can find the highest common divisor of 172, 874, 971, 180 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 172, 874, 971, 180 i.e 1.

3. How can I use the GCD of 172, 874, 971, 180Calculator?

Out the numbers 172, 874, 971, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.