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GCD of 269, 652, 114 Calculator

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


Online GCD Calculator is useful to find the GCD of 269, 652, 114 quickly. Get the easiest ways to solve the greatest common divisor of 269, 652, 114 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 269, 652, 114 with Factoring?

Given Input numbers are 269, 652, 114

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114


GCD of numbers is the greatest common divisor

So, the GCD (269, 652, 114) = 1.

Find GCD of 269, 652, 114 using Prime Factorization

Given numbers are 269, 652, 114

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 652 are 2 x 2 x 163

Prime factors of 114 are 2 x 3 x 19

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

Steps to Calculate GCD of 269, 652, 114 using LCM Formula

Given numbers are 269, 652, 114

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

Apply this formula for all numbers.

Step1:

LCM(269, 652) = 175388

GCD(269, 652) = ( 269 x 652 ) / 175388

= 269 / 652

= 269


Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1


So, Greatest Common Divisor of 269, 652, 114 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 269, 652, 114

Given numbers are 269, 652, 114
The greatest common divisor of numbers 269, 652, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 652, 114 is 1.

FAQs on GCD of 269, 652, 114 Calculator

1. What is the GCD of 269, 652, 114?

GCD of given numbers 269, 652, 114 is 1


2. How to calculate the greatest common divisor of 269, 652, 114?

We can find the highest common divisor of 269, 652, 114 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 269, 652, 114 i.e 1.


3. How can I use the GCD of 269, 652, 114Calculator?

Out the numbers 269, 652, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.