GCD of 124, 220, 70, 829 Calculator

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

GCD of numbers 124, 220, 70, 829 is 1

GCD(124, 220, 70, 829) = 1

GCD of 124,220,70,829 Calculator

GCDof 124,220,70,829 is 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

Finding GCD of 124, 220, 70, 829 using Prime Factorization

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

Finding GCD of 124, 220, 70, 829 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 124, 220, 70, 829

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.