GCD of 461, 949, 627, 749 Calculator

Given Input numbers are 461, 949, 627, 749

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 949

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

1, 13, 73, 949

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 461, 949, 627, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 949, 627, 749 is 1.

Therefore, GCD of numbers 461, 949, 627, 749 is 1

Given Input Data is 461, 949, 627, 749

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

Prime Factorization of 461 is 461

Prime Factorization of 949 is 13 x 73

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 749 is 7 x 107

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(461, 949) = 437489

GCD(461, 949) = ( 461 x 949 ) / 437489

GCD(461, 949) = 437489 / 437489

GCD(461, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 461, 949, 627, 749 is 1

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1. What is the GCD of 461, 949, 627, 749?

GCD of 461, 949, 627, 749 is 1

2. Where do I get the detailed procedure to find GCD of 461, 949, 627, 749?

You can find a detailed procedure to find GCD of 461, 949, 627, 749 on our page.

3. How to find GCD of 461, 949, 627, 749 on a calculator?

You can find the GCD of 461, 949, 627, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.