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GCD of 150, 214, 307, 711 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, 214, 307, 711 quickly. Get the easiest ways to solve the greatest common divisor of 150, 214, 307, 711 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 214, 307, 711 with Factoring?

Given Input numbers are 150, 214, 307, 711

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711


GCD of numbers is the greatest common divisor

So, the GCD (150, 214, 307, 711) = 1.

Find GCD of 150, 214, 307, 711 using Prime Factorization

Given numbers are 150, 214, 307, 711

The list of prime factors of all numbers are

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

Prime factors of 214 are 2 x 107

Prime factors of 307 are 307

Prime factors of 711 are 3 x 3 x 79

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

Steps to Calculate GCD of 150, 214, 307, 711 using LCM Formula

Given numbers are 150, 214, 307, 711

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

Apply this formula for all numbers.

Step1:

LCM(150, 214) = 16050

GCD(150, 214) = ( 150 x 214 ) / 16050

= 150 / 214

= 150


Step2:

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

= 2 / 307

= 2


Step3:

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

= 1 / 711

= 1


So, Greatest Common Divisor of 150, 214, 307, 711 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 214, 307, 711

Given numbers are 150, 214, 307, 711
The greatest common divisor of numbers 150, 214, 307, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 214, 307, 711 is 1.

FAQs on GCD of 150, 214, 307, 711 Calculator

1. What is the GCD of 150, 214, 307, 711?

GCD of given numbers 150, 214, 307, 711 is 1


2. How to calculate the greatest common divisor of 150, 214, 307, 711?

We can find the highest common divisor of 150, 214, 307, 711 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, 214, 307, 711 i.e 1.


3. How can I use the GCD of 150, 214, 307, 711Calculator?

Out the numbers 150, 214, 307, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.