GCD of 970, 496, 949, 976 Calculator

Given Input numbers are 970, 496, 949, 976

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

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

Greatest Common Divisior

We found the divisors of 970, 496, 949, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 496, 949, 976 is 1.

Therefore, GCD of numbers 970, 496, 949, 976 is 1

Given Input Data is 970, 496, 949, 976

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 949 is 13 x 73

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(970, 496) = 240560

GCD(970, 496) = ( 970 x 496 ) / 240560

GCD(970, 496) = 481120 / 240560

GCD(970, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

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

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

GCD of 970, 496, 949, 976 is 1

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1. What is the GCD of 970, 496, 949, 976?

GCD of 970, 496, 949, 976 is 1

2. Where do I get the detailed procedure to find GCD of 970, 496, 949, 976?

You can find a detailed procedure to find GCD of 970, 496, 949, 976 on our page.

3. How to find GCD of 970, 496, 949, 976 on a calculator?

You can find the GCD of 970, 496, 949, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.