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GCD of 150, 771, 306, 175 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, 771, 306, 175 quickly. Get the easiest ways to solve the greatest common divisor of 150, 771, 306, 175 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 771, 306, 175 with Factoring?

Given Input numbers are 150, 771, 306, 175

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 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175


GCD of numbers is the greatest common divisor

So, the GCD (150, 771, 306, 175) = 1.

Find GCD of 150, 771, 306, 175 using Prime Factorization

Given numbers are 150, 771, 306, 175

The list of prime factors of all numbers are

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

Prime factors of 771 are 3 x 257

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 175 are 5 x 5 x 7

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

Steps to Calculate GCD of 150, 771, 306, 175 using LCM Formula

Given numbers are 150, 771, 306, 175

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

Apply this formula for all numbers.

Step1:

LCM(150, 771) = 38550

GCD(150, 771) = ( 150 x 771 ) / 38550

= 150 / 771

= 150


Step2:

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

= 3 / 306

= 3


Step3:

LCM(3, 175) = 525

GCD(3, 175) = ( 3 x 175 ) / 525

= 3 / 175

= 3


So, Greatest Common Divisor of 150, 771, 306, 175 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 771, 306, 175

Given numbers are 150, 771, 306, 175
The greatest common divisor of numbers 150, 771, 306, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 771, 306, 175 is 1.

FAQs on GCD of 150, 771, 306, 175 Calculator

1. What is the GCD of 150, 771, 306, 175?

GCD of given numbers 150, 771, 306, 175 is 1


2. How to calculate the greatest common divisor of 150, 771, 306, 175?

We can find the highest common divisor of 150, 771, 306, 175 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, 771, 306, 175 i.e 1.


3. How can I use the GCD of 150, 771, 306, 175Calculator?

Out the numbers 150, 771, 306, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.