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GCD of 289, 958, 707, 135 Calculator

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


Online GCD Calculator is useful to find the GCD of 289, 958, 707, 135 quickly. Get the easiest ways to solve the greatest common divisor of 289, 958, 707, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 289, 958, 707, 135 with Factoring?

Given Input numbers are 289, 958, 707, 135

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 707 :

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

1, 7, 101, 707

Divisors of 135 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (289, 958, 707, 135) = 1.

Find GCD of 289, 958, 707, 135 using Prime Factorization

Given numbers are 289, 958, 707, 135

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 958 are 2 x 479

Prime factors of 707 are 7 x 101

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

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

Steps to Calculate GCD of 289, 958, 707, 135 using LCM Formula

Given numbers are 289, 958, 707, 135

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

Apply this formula for all numbers.

Step1:

LCM(289, 958) = 276862

GCD(289, 958) = ( 289 x 958 ) / 276862

= 289 / 958

= 289


Step2:

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

= 1 / 707

= 1


Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


So, Greatest Common Divisor of 289, 958, 707, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 289, 958, 707, 135

Given numbers are 289, 958, 707, 135
The greatest common divisor of numbers 289, 958, 707, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 958, 707, 135 is 1.

FAQs on GCD of 289, 958, 707, 135 Calculator

1. What is the GCD of 289, 958, 707, 135?

GCD of given numbers 289, 958, 707, 135 is 1


2. How to calculate the greatest common divisor of 289, 958, 707, 135?

We can find the highest common divisor of 289, 958, 707, 135 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 289, 958, 707, 135 i.e 1.


3. How can I use the GCD of 289, 958, 707, 135Calculator?

Out the numbers 289, 958, 707, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.