GCD of 971, 380, 316, 960 Calculator

Given Input numbers are 971, 380, 316, 960

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

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

GCD of numbers is the greatest common divisor

So, the GCD (971, 380, 316, 960) = 1.

Given numbers are 971, 380, 316, 960

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 316 are 2 x 2 x 79

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

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

Given numbers are 971, 380, 316, 960

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

Apply this formula for all numbers.

Step1:

LCM(971, 380) = 368980

GCD(971, 380) = ( 971 x 380 ) / 368980

= 971 / 380

= 971

Step2:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1

Step3:

LCM(1, 960) = 960

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

= 1 / 960

= 1

So, Greatest Common Divisor of 971, 380, 316, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 309, 357, 136
• GCD of 790, 188, 702, 843
• GCD of 381, 913, 482, 738
• GCD of 840, 703, 892, 562
• GCD of 606, 571, 832, 141

Given numbers are 971, 380, 316, 960
The greatest common divisor of numbers 971, 380, 316, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 380, 316, 960 is 1.

1. What is the GCD of 971, 380, 316, 960?

GCD of given numbers 971, 380, 316, 960 is 1

2. How to calculate the greatest common divisor of 971, 380, 316, 960?

We can find the highest common divisor of 971, 380, 316, 960 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, 380, 316, 960 i.e 1.

3. How can I use the GCD of 971, 380, 316, 960Calculator?

Out the numbers 971, 380, 316, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.