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GCD of 738, 862, 360, 539 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 862, 360, 539 quickly. Get the easiest ways to solve the greatest common divisor of 738, 862, 360, 539 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 862, 360, 539 with Factoring?

Given Input numbers are 738, 862, 360, 539

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

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 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 539 :

The positive integer divisors of 539 that completely divides 539 are.

1, 7, 11, 49, 77, 539


GCD of numbers is the greatest common divisor

So, the GCD (738, 862, 360, 539) = 1.

Find GCD of 738, 862, 360, 539 using Prime Factorization

Given numbers are 738, 862, 360, 539

The list of prime factors of all numbers are

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

Prime factors of 862 are 2 x 431

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 539 are 7 x 7 x 11

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

Steps to Calculate GCD of 738, 862, 360, 539 using LCM Formula

Given numbers are 738, 862, 360, 539

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

Apply this formula for all numbers.

Step1:

LCM(738, 862) = 318078

GCD(738, 862) = ( 738 x 862 ) / 318078

= 738 / 862

= 738


Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2


Step3:

LCM(2, 539) = 1078

GCD(2, 539) = ( 2 x 539 ) / 1078

= 2 / 539

= 2


So, Greatest Common Divisor of 738, 862, 360, 539 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 862, 360, 539

Given numbers are 738, 862, 360, 539
The greatest common divisor of numbers 738, 862, 360, 539 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 862, 360, 539 is 1.

FAQs on GCD of 738, 862, 360, 539 Calculator

1. What is the GCD of 738, 862, 360, 539?

GCD of given numbers 738, 862, 360, 539 is 1


2. How to calculate the greatest common divisor of 738, 862, 360, 539?

We can find the highest common divisor of 738, 862, 360, 539 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 738, 862, 360, 539 i.e 1.


3. How can I use the GCD of 738, 862, 360, 539Calculator?

Out the numbers 738, 862, 360, 539 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.