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, 778, 490, 454 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 778, 490, 454 is 1
GCD(637, 778, 490, 454) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 778, 490, 454 is 1
GCD(637, 778, 490, 454) = 1
Given Input numbers are 637, 778, 490, 454
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 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Greatest Common Divisior
We found the divisors of 637, 778, 490, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 778, 490, 454 is 1.
Therefore, GCD of numbers 637, 778, 490, 454 is 1
Given Input Data is 637, 778, 490, 454
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 778 is 2 x 389
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 454 is 2 x 227
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, 778) = 495586
GCD(637, 778) = ( 637 x 778 ) / 495586
GCD(637, 778) = 495586 / 495586
GCD(637, 778) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 454) = 454
GCD(1, 454) = ( 1 x 454 ) / 454
GCD(1, 454) = 454 / 454
GCD(1, 454) = 1
GCD of 637, 778, 490, 454 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 778, 490, 454?
GCD of 637, 778, 490, 454 is 1
2. Where do I get the detailed procedure to find GCD of 637, 778, 490, 454?
You can find a detailed procedure to find GCD of 637, 778, 490, 454 on our page.
3. How to find GCD of 637, 778, 490, 454 on a calculator?
You can find the GCD of 637, 778, 490, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.