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 637, 406, 70, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 406, 70, 354 is 1
GCD(637, 406, 70, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 406, 70, 354 is 1
GCD(637, 406, 70, 354) = 1
Given Input numbers are 637, 406, 70, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 637, 406, 70, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 406, 70, 354 is 1.
Therefore, GCD of numbers 637, 406, 70, 354 is 1
Given Input Data is 637, 406, 70, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 354 is 2 x 3 x 59
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(637, 406) = 36946
GCD(637, 406) = ( 637 x 406 ) / 36946
GCD(637, 406) = 258622 / 36946
GCD(637, 406) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 70) = 70
GCD(7, 70) = ( 7 x 70 ) / 70
GCD(7, 70) = 490 / 70
GCD(7, 70) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 354) = 2478
GCD(7, 354) = ( 7 x 354 ) / 2478
GCD(7, 354) = 2478 / 2478
GCD(7, 354) = 1
GCD of 637, 406, 70, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 406, 70, 354?
GCD of 637, 406, 70, 354 is 1
2. Where do I get the detailed procedure to find GCD of 637, 406, 70, 354?
You can find a detailed procedure to find GCD of 637, 406, 70, 354 on our page.
3. How to find GCD of 637, 406, 70, 354 on a calculator?
You can find the GCD of 637, 406, 70, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.