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GCD of 546, 150, 861, 508 Calculator

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


Online GCD Calculator is useful to find the GCD of 546, 150, 861, 508 quickly. Get the easiest ways to solve the greatest common divisor of 546, 150, 861, 508 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 546, 150, 861, 508 with Factoring?

Given Input numbers are 546, 150, 861, 508

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

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (546, 150, 861, 508) = 1.

Find GCD of 546, 150, 861, 508 using Prime Factorization

Given numbers are 546, 150, 861, 508

The list of prime factors of all numbers are

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 861 are 3 x 7 x 41

Prime factors of 508 are 2 x 2 x 127

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

Steps to Calculate GCD of 546, 150, 861, 508 using LCM Formula

Given numbers are 546, 150, 861, 508

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

Apply this formula for all numbers.

Step1:

LCM(546, 150) = 13650

GCD(546, 150) = ( 546 x 150 ) / 13650

= 546 / 150

= 546


Step2:

LCM(6, 861) = 1722

GCD(6, 861) = ( 6 x 861 ) / 1722

= 6 / 861

= 6


Step3:

LCM(3, 508) = 1524

GCD(3, 508) = ( 3 x 508 ) / 1524

= 3 / 508

= 3


So, Greatest Common Divisor of 546, 150, 861, 508 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 546, 150, 861, 508

Given numbers are 546, 150, 861, 508
The greatest common divisor of numbers 546, 150, 861, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 150, 861, 508 is 1.

FAQs on GCD of 546, 150, 861, 508 Calculator

1. What is the GCD of 546, 150, 861, 508?

GCD of given numbers 546, 150, 861, 508 is 1


2. How to calculate the greatest common divisor of 546, 150, 861, 508?

We can find the highest common divisor of 546, 150, 861, 508 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 546, 150, 861, 508 i.e 1.


3. How can I use the GCD of 546, 150, 861, 508Calculator?

Out the numbers 546, 150, 861, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.