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GCD of 501, 938, 528, 300 Calculator

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


Online GCD Calculator is useful to find the GCD of 501, 938, 528, 300 quickly. Get the easiest ways to solve the greatest common divisor of 501, 938, 528, 300 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 501, 938, 528, 300 with Factoring?

Given Input numbers are 501, 938, 528, 300

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300


GCD of numbers is the greatest common divisor

So, the GCD (501, 938, 528, 300) = 1.

Find GCD of 501, 938, 528, 300 using Prime Factorization

Given numbers are 501, 938, 528, 300

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 938 are 2 x 7 x 67

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Steps to Calculate GCD of 501, 938, 528, 300 using LCM Formula

Given numbers are 501, 938, 528, 300

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

Apply this formula for all numbers.

Step1:

LCM(501, 938) = 469938

GCD(501, 938) = ( 501 x 938 ) / 469938

= 501 / 938

= 501


Step2:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1


Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1


So, Greatest Common Divisor of 501, 938, 528, 300 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 501, 938, 528, 300

Given numbers are 501, 938, 528, 300
The greatest common divisor of numbers 501, 938, 528, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 938, 528, 300 is 1.

FAQs on GCD of 501, 938, 528, 300 Calculator

1. What is the GCD of 501, 938, 528, 300?

GCD of given numbers 501, 938, 528, 300 is 1


2. How to calculate the greatest common divisor of 501, 938, 528, 300?

We can find the highest common divisor of 501, 938, 528, 300 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 501, 938, 528, 300 i.e 1.


3. How can I use the GCD of 501, 938, 528, 300Calculator?

Out the numbers 501, 938, 528, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.