GCD of 371, 620, 974, 699 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 371, 620, 974, 699 i.e. 1 largest integer that divides all the numbers equally.

GCD of 371, 620, 974, 699 is 1

GCD(371, 620, 974, 699) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 371, 620, 974, 699 is 1

GCD(371, 620, 974, 699) = 1

GCD of 371,620,974,699 Calculator

GCDof 371,620,974,699 is 1

Given Input numbers are 371, 620, 974, 699

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 974

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

1, 2, 487, 974

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 371, 620, 974, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 620, 974, 699 is 1.

Therefore, GCD of numbers 371, 620, 974, 699 is 1

Finding GCD of 371, 620, 974, 699 using Prime Factorization

Given Input Data is 371, 620, 974, 699

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 974 is 2 x 487

Prime Factorization of 699 is 3 x 233

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

Finding GCD of 371, 620, 974, 699 using LCM Formula

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(371, 620) = 230020

GCD(371, 620) = ( 371 x 620 ) / 230020

GCD(371, 620) = 230020 / 230020

GCD(371, 620) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 371, 620, 974, 699 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 371, 620, 974, 699

1. What is the GCD of 371, 620, 974, 699?

GCD of 371, 620, 974, 699 is 1


2. Where do I get the detailed procedure to find GCD of 371, 620, 974, 699?

You can find a detailed procedure to find GCD of 371, 620, 974, 699 on our page.


3. How to find GCD of 371, 620, 974, 699 on a calculator?

You can find the GCD of 371, 620, 974, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.