GCD of 961, 100, 197, 976 Calculator

Given Input numbers are 961, 100, 197, 976

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (961, 100, 197, 976) = 1.

Given numbers are 961, 100, 197, 976

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 197 are 197

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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

Given numbers are 961, 100, 197, 976

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

Apply this formula for all numbers.

Step1:

LCM(961, 100) = 96100

GCD(961, 100) = ( 961 x 100 ) / 96100

= 961 / 100

= 961

Step2:

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

= 1 / 197

= 1

Step3:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

So, Greatest Common Divisor of 961, 100, 197, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 998, 737, 809
• GCD of 972, 943, 399, 812
• GCD of 642, 815, 263, 510
• GCD of 327, 340, 517, 816
• GCD of 451, 687, 376, 805

Given numbers are 961, 100, 197, 976
The greatest common divisor of numbers 961, 100, 197, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 100, 197, 976 is 1.

1. What is the GCD of 961, 100, 197, 976?

GCD of given numbers 961, 100, 197, 976 is 1

2. How to calculate the greatest common divisor of 961, 100, 197, 976?

We can find the highest common divisor of 961, 100, 197, 976 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 961, 100, 197, 976 i.e 1.

3. How can I use the GCD of 961, 100, 197, 976Calculator?

Out the numbers 961, 100, 197, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.