GCD of 971, 654, 960, 172 Calculator

Given Input numbers are 971, 654, 960, 172

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (971, 654, 960, 172) = 1.

Given numbers are 971, 654, 960, 172

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 654 are 2 x 3 x 109

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 971, 654, 960, 172

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

Apply this formula for all numbers.

Step1:

LCM(971, 654) = 635034

GCD(971, 654) = ( 971 x 654 ) / 635034

= 971 / 654

= 971

Step2:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 971, 654, 960, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 554, 153, 358
• GCD of 743, 761, 176, 591
• GCD of 864, 105, 421, 757
• GCD of 658, 622, 849, 372
• GCD of 529, 936, 231, 540

Given numbers are 971, 654, 960, 172
The greatest common divisor of numbers 971, 654, 960, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 654, 960, 172 is 1.

1. What is the GCD of 971, 654, 960, 172?

GCD of given numbers 971, 654, 960, 172 is 1

2. How to calculate the greatest common divisor of 971, 654, 960, 172?

We can find the highest common divisor of 971, 654, 960, 172 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, 654, 960, 172 i.e 1.

3. How can I use the GCD of 971, 654, 960, 172Calculator?

Out the numbers 971, 654, 960, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.