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 124, 220, 70, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 220, 70, 829 is 1
GCD(124, 220, 70, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 220, 70, 829 is 1
GCD(124, 220, 70, 829) = 1
Given Input numbers are 124, 220, 70, 829
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Greatest Common Divisior
We found the divisors of 124, 220, 70, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 220, 70, 829 is 1.
Therefore, GCD of numbers 124, 220, 70, 829 is 1
Given Input Data is 124, 220, 70, 829
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 829 is 829
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(124, 220) = 6820
GCD(124, 220) = ( 124 x 220 ) / 6820
GCD(124, 220) = 27280 / 6820
GCD(124, 220) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 70) = 140
GCD(4, 70) = ( 4 x 70 ) / 140
GCD(4, 70) = 280 / 140
GCD(4, 70) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 829) = 1658
GCD(2, 829) = ( 2 x 829 ) / 1658
GCD(2, 829) = 1658 / 1658
GCD(2, 829) = 1
GCD of 124, 220, 70, 829 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 220, 70, 829?
GCD of 124, 220, 70, 829 is 1
2. Where do I get the detailed procedure to find GCD of 124, 220, 70, 829?
You can find a detailed procedure to find GCD of 124, 220, 70, 829 on our page.
3. How to find GCD of 124, 220, 70, 829 on a calculator?
You can find the GCD of 124, 220, 70, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.