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GCD of 135, 348, 707 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, 348, 707 quickly. Get the easiest ways to solve the greatest common divisor of 135, 348, 707 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 135, 348, 707 with Factoring?

Given Input numbers are 135, 348, 707

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707


GCD of numbers is the greatest common divisor

So, the GCD (135, 348, 707) = 1.

Find GCD of 135, 348, 707 using Prime Factorization

Given numbers are 135, 348, 707

The list of prime factors of all numbers are

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

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 707 are 7 x 101

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

Steps to Calculate GCD of 135, 348, 707 using LCM Formula

Given numbers are 135, 348, 707

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

Apply this formula for all numbers.

Step1:

LCM(135, 348) = 15660

GCD(135, 348) = ( 135 x 348 ) / 15660

= 135 / 348

= 135


Step2:

LCM(3, 707) = 2121

GCD(3, 707) = ( 3 x 707 ) / 2121

= 3 / 707

= 3


So, Greatest Common Divisor of 135, 348, 707 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 135, 348, 707

Given numbers are 135, 348, 707
The greatest common divisor of numbers 135, 348, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 348, 707 is 1.

FAQs on GCD of 135, 348, 707 Calculator

1. What is the GCD of 135, 348, 707?

GCD of given numbers 135, 348, 707 is 1


2. How to calculate the greatest common divisor of 135, 348, 707?

We can find the highest common divisor of 135, 348, 707 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, 348, 707 i.e 1.


3. How can I use the GCD of 135, 348, 707Calculator?

Out the numbers 135, 348, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.