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GCD of 724, 701, 780, 423 Calculator

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


Online GCD Calculator is useful to find the GCD of 724, 701, 780, 423 quickly. Get the easiest ways to solve the greatest common divisor of 724, 701, 780, 423 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 701, 780, 423 with Factoring?

Given Input numbers are 724, 701, 780, 423

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423


GCD of numbers is the greatest common divisor

So, the GCD (724, 701, 780, 423) = 1.

Find GCD of 724, 701, 780, 423 using Prime Factorization

Given numbers are 724, 701, 780, 423

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 701 are 701

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 423 are 3 x 3 x 47

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

Steps to Calculate GCD of 724, 701, 780, 423 using LCM Formula

Given numbers are 724, 701, 780, 423

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

Apply this formula for all numbers.

Step1:

LCM(724, 701) = 507524

GCD(724, 701) = ( 724 x 701 ) / 507524

= 724 / 701

= 724


Step2:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1


Step3:

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

= 1 / 423

= 1


So, Greatest Common Divisor of 724, 701, 780, 423 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 701, 780, 423

Given numbers are 724, 701, 780, 423
The greatest common divisor of numbers 724, 701, 780, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 701, 780, 423 is 1.

FAQs on GCD of 724, 701, 780, 423 Calculator

1. What is the GCD of 724, 701, 780, 423?

GCD of given numbers 724, 701, 780, 423 is 1


2. How to calculate the greatest common divisor of 724, 701, 780, 423?

We can find the highest common divisor of 724, 701, 780, 423 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 724, 701, 780, 423 i.e 1.


3. How can I use the GCD of 724, 701, 780, 423Calculator?

Out the numbers 724, 701, 780, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.