GCD of 913, 974, 943, 949 Calculator

Given Input numbers are 913, 974, 943, 949

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

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 913, 974, 943, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 974, 943, 949 is 1.

Therefore, GCD of numbers 913, 974, 943, 949 is 1

Given Input Data is 913, 974, 943, 949

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 974 is 2 x 487

Prime Factorization of 943 is 23 x 41

Prime Factorization of 949 is 13 x 73

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(913, 974) = 889262

GCD(913, 974) = ( 913 x 974 ) / 889262

GCD(913, 974) = 889262 / 889262

GCD(913, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 913, 974, 943, 949 is 1

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1. What is the GCD of 913, 974, 943, 949?

GCD of 913, 974, 943, 949 is 1

2. Where do I get the detailed procedure to find GCD of 913, 974, 943, 949?

You can find a detailed procedure to find GCD of 913, 974, 943, 949 on our page.

3. How to find GCD of 913, 974, 943, 949 on a calculator?

You can find the GCD of 913, 974, 943, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.