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GCD of 150, 781, 100, 585 Calculator

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


Online GCD Calculator is useful to find the GCD of 150, 781, 100, 585 quickly. Get the easiest ways to solve the greatest common divisor of 150, 781, 100, 585 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 781, 100, 585 with Factoring?

Given Input numbers are 150, 781, 100, 585

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

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 781 :

The positive integer divisors of 781 that completely divides 781 are.

1, 11, 71, 781

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585


GCD of numbers is the greatest common divisor

So, the GCD (150, 781, 100, 585) = 1.

Find GCD of 150, 781, 100, 585 using Prime Factorization

Given numbers are 150, 781, 100, 585

The list of prime factors of all numbers are

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

Prime factors of 781 are 11 x 71

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 585 are 3 x 3 x 5 x 13

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

Steps to Calculate GCD of 150, 781, 100, 585 using LCM Formula

Given numbers are 150, 781, 100, 585

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

Apply this formula for all numbers.

Step1:

LCM(150, 781) = 117150

GCD(150, 781) = ( 150 x 781 ) / 117150

= 150 / 781

= 150


Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1


Step3:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1


So, Greatest Common Divisor of 150, 781, 100, 585 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 781, 100, 585

Given numbers are 150, 781, 100, 585
The greatest common divisor of numbers 150, 781, 100, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 781, 100, 585 is 1.

FAQs on GCD of 150, 781, 100, 585 Calculator

1. What is the GCD of 150, 781, 100, 585?

GCD of given numbers 150, 781, 100, 585 is 1


2. How to calculate the greatest common divisor of 150, 781, 100, 585?

We can find the highest common divisor of 150, 781, 100, 585 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 150, 781, 100, 585 i.e 1.


3. How can I use the GCD of 150, 781, 100, 585Calculator?

Out the numbers 150, 781, 100, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.