LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 135, 171, 716, 715 Calculator

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


Online GCD Calculator is useful to find the GCD of 135, 171, 716, 715 quickly. Get the easiest ways to solve the greatest common divisor of 135, 171, 716, 715 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 135, 171, 716, 715 with Factoring?

Given Input numbers are 135, 171, 716, 715

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715


GCD of numbers is the greatest common divisor

So, the GCD (135, 171, 716, 715) = 1.

Find GCD of 135, 171, 716, 715 using Prime Factorization

Given numbers are 135, 171, 716, 715

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 171 are 3 x 3 x 19

Prime factors of 716 are 2 x 2 x 179

Prime factors of 715 are 5 x 11 x 13

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

Steps to Calculate GCD of 135, 171, 716, 715 using LCM Formula

Given numbers are 135, 171, 716, 715

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

Apply this formula for all numbers.

Step1:

LCM(135, 171) = 2565

GCD(135, 171) = ( 135 x 171 ) / 2565

= 135 / 171

= 135


Step2:

LCM(9, 716) = 6444

GCD(9, 716) = ( 9 x 716 ) / 6444

= 9 / 716

= 9


Step3:

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

= 1 / 715

= 1


So, Greatest Common Divisor of 135, 171, 716, 715 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 135, 171, 716, 715

Given numbers are 135, 171, 716, 715
The greatest common divisor of numbers 135, 171, 716, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 171, 716, 715 is 1.

FAQs on GCD of 135, 171, 716, 715 Calculator

1. What is the GCD of 135, 171, 716, 715?

GCD of given numbers 135, 171, 716, 715 is 1


2. How to calculate the greatest common divisor of 135, 171, 716, 715?

We can find the highest common divisor of 135, 171, 716, 715 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 135, 171, 716, 715 i.e 1.


3. How can I use the GCD of 135, 171, 716, 715Calculator?

Out the numbers 135, 171, 716, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.