GCD of 674, 971, 754, 739 Calculator

Given Input numbers are 674, 971, 754, 739

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 674, 971, 754, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 971, 754, 739 is 1.

Therefore, GCD of numbers 674, 971, 754, 739 is 1

Given Input Data is 674, 971, 754, 739

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 971 is 971

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 739 is 739

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(674, 971) = 654454

GCD(674, 971) = ( 674 x 971 ) / 654454

GCD(674, 971) = 654454 / 654454

GCD(674, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 674, 971, 754, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 140, 686, 102
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• GCD of 402, 330, 376, 718

1. What is the GCD of 674, 971, 754, 739?

GCD of 674, 971, 754, 739 is 1

2. Where do I get the detailed procedure to find GCD of 674, 971, 754, 739?

You can find a detailed procedure to find GCD of 674, 971, 754, 739 on our page.

3. How to find GCD of 674, 971, 754, 739 on a calculator?

You can find the GCD of 674, 971, 754, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.