GCD of 971, 831, 189, 180 Calculator

Given Input numbers are 971, 831, 189, 180

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

Divisors of 971 :

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

1, 971

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

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 (971, 831, 189, 180) = 1.

Given numbers are 971, 831, 189, 180

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 831 are 3 x 277

Prime factors of 189 are 3 x 3 x 3 x 7

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 971, 831, 189, 180

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

Apply this formula for all numbers.

Step1:

LCM(971, 831) = 806901

GCD(971, 831) = ( 971 x 831 ) / 806901

= 971 / 831

= 971

Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

Step3:

LCM(1, 180) = 180

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

= 1 / 180

= 1

So, Greatest Common Divisor of 971, 831, 189, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 333, 329, 485
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• GCD of 219, 120, 588, 268
• GCD of 664, 772, 606, 841
• GCD of 669, 479, 742, 383

Given numbers are 971, 831, 189, 180
The greatest common divisor of numbers 971, 831, 189, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 831, 189, 180 is 1.

1. What is the GCD of 971, 831, 189, 180?

GCD of given numbers 971, 831, 189, 180 is 1

2. How to calculate the greatest common divisor of 971, 831, 189, 180?

We can find the highest common divisor of 971, 831, 189, 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 971, 831, 189, 180 i.e 1.

3. How can I use the GCD of 971, 831, 189, 180Calculator?

Out the numbers 971, 831, 189, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.