GCD of 971, 949, 960, 506 Calculator

Given Input numbers are 971, 949, 960, 506

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 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (971, 949, 960, 506) = 1.

Given numbers are 971, 949, 960, 506

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 949 are 13 x 73

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

Prime factors of 506 are 2 x 11 x 23

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

Given numbers are 971, 949, 960, 506

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

Apply this formula for all numbers.

Step1:

LCM(971, 949) = 921479

GCD(971, 949) = ( 971 x 949 ) / 921479

= 971 / 949

= 971

Step2:

LCM(1, 960) = 960

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

= 1 / 960

= 1

Step3:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

So, Greatest Common Divisor of 971, 949, 960, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 313, 244, 932
• GCD of 116, 777, 966, 346
• GCD of 268, 226, 474, 711
• GCD of 621, 713, 228, 912
• GCD of 528, 208, 663, 993

Given numbers are 971, 949, 960, 506
The greatest common divisor of numbers 971, 949, 960, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 949, 960, 506 is 1.

1. What is the GCD of 971, 949, 960, 506?

GCD of given numbers 971, 949, 960, 506 is 1

2. How to calculate the greatest common divisor of 971, 949, 960, 506?

We can find the highest common divisor of 971, 949, 960, 506 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, 949, 960, 506 i.e 1.

3. How can I use the GCD of 971, 949, 960, 506Calculator?

Out the numbers 971, 949, 960, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.