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, 419, 948, 420 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 419, 948, 420 is 1
GCD(637, 419, 948, 420) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 419, 948, 420 is 1
GCD(637, 419, 948, 420) = 1
Given Input numbers are 637, 419, 948, 420
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 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Greatest Common Divisior
We found the divisors of 637, 419, 948, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 419, 948, 420 is 1.
Therefore, GCD of numbers 637, 419, 948, 420 is 1
Given Input Data is 637, 419, 948, 420
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 419 is 419
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
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, 419) = 266903
GCD(637, 419) = ( 637 x 419 ) / 266903
GCD(637, 419) = 266903 / 266903
GCD(637, 419) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
GCD of 637, 419, 948, 420 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 419, 948, 420?
GCD of 637, 419, 948, 420 is 1
2. Where do I get the detailed procedure to find GCD of 637, 419, 948, 420?
You can find a detailed procedure to find GCD of 637, 419, 948, 420 on our page.
3. How to find GCD of 637, 419, 948, 420 on a calculator?
You can find the GCD of 637, 419, 948, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.