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GCD of 538, 600, 263, 732 Calculator

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


Online GCD Calculator is useful to find the GCD of 538, 600, 263, 732 quickly. Get the easiest ways to solve the greatest common divisor of 538, 600, 263, 732 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 538, 600, 263, 732 with Factoring?

Given Input numbers are 538, 600, 263, 732

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 263 :

The positive integer divisors of 263 that completely divides 263 are.

1, 263

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732


GCD of numbers is the greatest common divisor

So, the GCD (538, 600, 263, 732) = 1.

Find GCD of 538, 600, 263, 732 using Prime Factorization

Given numbers are 538, 600, 263, 732

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 263 are 263

Prime factors of 732 are 2 x 2 x 3 x 61

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

Steps to Calculate GCD of 538, 600, 263, 732 using LCM Formula

Given numbers are 538, 600, 263, 732

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

Apply this formula for all numbers.

Step1:

LCM(538, 600) = 161400

GCD(538, 600) = ( 538 x 600 ) / 161400

= 538 / 600

= 538


Step2:

LCM(2, 263) = 526

GCD(2, 263) = ( 2 x 263 ) / 526

= 2 / 263

= 2


Step3:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1


So, Greatest Common Divisor of 538, 600, 263, 732 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 538, 600, 263, 732

Given numbers are 538, 600, 263, 732
The greatest common divisor of numbers 538, 600, 263, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 600, 263, 732 is 1.

FAQs on GCD of 538, 600, 263, 732 Calculator

1. What is the GCD of 538, 600, 263, 732?

GCD of given numbers 538, 600, 263, 732 is 1


2. How to calculate the greatest common divisor of 538, 600, 263, 732?

We can find the highest common divisor of 538, 600, 263, 732 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 538, 600, 263, 732 i.e 1.


3. How can I use the GCD of 538, 600, 263, 732Calculator?

Out the numbers 538, 600, 263, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.