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GCD of 140, 605, 724, 424 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 140, 605, 724, 424 quickly. Get the easiest ways to solve the greatest common divisor of 140, 605, 724, 424 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 140, 605, 724, 424 with Factoring?

Given Input numbers are 140, 605, 724, 424

In the factoring method, we have to find the divisors of all numbers

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424


GCD of numbers is the greatest common divisor

So, the GCD (140, 605, 724, 424) = 1.

Find GCD of 140, 605, 724, 424 using Prime Factorization

Given numbers are 140, 605, 724, 424

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 605 are 5 x 11 x 11

Prime factors of 724 are 2 x 2 x 181

Prime factors of 424 are 2 x 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 140, 605, 724, 424 using LCM Formula

Given numbers are 140, 605, 724, 424

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(140, 605) = 16940

GCD(140, 605) = ( 140 x 605 ) / 16940

= 140 / 605

= 140


Step2:

LCM(5, 724) = 3620

GCD(5, 724) = ( 5 x 724 ) / 3620

= 5 / 724

= 5


Step3:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1


So, Greatest Common Divisor of 140, 605, 724, 424 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 140, 605, 724, 424

Given numbers are 140, 605, 724, 424
The greatest common divisor of numbers 140, 605, 724, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 605, 724, 424 is 1.

FAQs on GCD of 140, 605, 724, 424 Calculator

1. What is the GCD of 140, 605, 724, 424?

GCD of given numbers 140, 605, 724, 424 is 1


2. How to calculate the greatest common divisor of 140, 605, 724, 424?

We can find the highest common divisor of 140, 605, 724, 424 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 140, 605, 724, 424 i.e 1.


3. How can I use the GCD of 140, 605, 724, 424Calculator?

Out the numbers 140, 605, 724, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.