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 numbers 371, 620, 974, 699 is 1
GCD(371, 620, 974, 699) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.