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GCD of 720, 738, 598, 857 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 738, 598, 857 quickly. Get the easiest ways to solve the greatest common divisor of 720, 738, 598, 857 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 738, 598, 857 with Factoring?

Given Input numbers are 720, 738, 598, 857

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857


GCD of numbers is the greatest common divisor

So, the GCD (720, 738, 598, 857) = 1.

Find GCD of 720, 738, 598, 857 using Prime Factorization

Given numbers are 720, 738, 598, 857

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 598 are 2 x 13 x 23

Prime factors of 857 are 857

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

Steps to Calculate GCD of 720, 738, 598, 857 using LCM Formula

Given numbers are 720, 738, 598, 857

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

Apply this formula for all numbers.

Step1:

LCM(720, 738) = 29520

GCD(720, 738) = ( 720 x 738 ) / 29520

= 720 / 738

= 720


Step2:

LCM(18, 598) = 5382

GCD(18, 598) = ( 18 x 598 ) / 5382

= 18 / 598

= 18


Step3:

LCM(2, 857) = 1714

GCD(2, 857) = ( 2 x 857 ) / 1714

= 2 / 857

= 2


So, Greatest Common Divisor of 720, 738, 598, 857 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 738, 598, 857

Given numbers are 720, 738, 598, 857
The greatest common divisor of numbers 720, 738, 598, 857 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 738, 598, 857 is 1.

FAQs on GCD of 720, 738, 598, 857 Calculator

1. What is the GCD of 720, 738, 598, 857?

GCD of given numbers 720, 738, 598, 857 is 1


2. How to calculate the greatest common divisor of 720, 738, 598, 857?

We can find the highest common divisor of 720, 738, 598, 857 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 720, 738, 598, 857 i.e 1.


3. How can I use the GCD of 720, 738, 598, 857Calculator?

Out the numbers 720, 738, 598, 857 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.