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GCD of 442, 117, 709, 652 Calculator

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


Online GCD Calculator is useful to find the GCD of 442, 117, 709, 652 quickly. Get the easiest ways to solve the greatest common divisor of 442, 117, 709, 652 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 442, 117, 709, 652 with Factoring?

Given Input numbers are 442, 117, 709, 652

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 652 :

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

1, 2, 4, 163, 326, 652


GCD of numbers is the greatest common divisor

So, the GCD (442, 117, 709, 652) = 1.

Find GCD of 442, 117, 709, 652 using Prime Factorization

Given numbers are 442, 117, 709, 652

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 117 are 3 x 3 x 13

Prime factors of 709 are 709

Prime factors of 652 are 2 x 2 x 163

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

Steps to Calculate GCD of 442, 117, 709, 652 using LCM Formula

Given numbers are 442, 117, 709, 652

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

Apply this formula for all numbers.

Step1:

LCM(442, 117) = 3978

GCD(442, 117) = ( 442 x 117 ) / 3978

= 442 / 117

= 442


Step2:

LCM(13, 709) = 9217

GCD(13, 709) = ( 13 x 709 ) / 9217

= 13 / 709

= 13


Step3:

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

= 1 / 652

= 1


So, Greatest Common Divisor of 442, 117, 709, 652 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 442, 117, 709, 652

Given numbers are 442, 117, 709, 652
The greatest common divisor of numbers 442, 117, 709, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 117, 709, 652 is 1.

FAQs on GCD of 442, 117, 709, 652 Calculator

1. What is the GCD of 442, 117, 709, 652?

GCD of given numbers 442, 117, 709, 652 is 1


2. How to calculate the greatest common divisor of 442, 117, 709, 652?

We can find the highest common divisor of 442, 117, 709, 652 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 442, 117, 709, 652 i.e 1.


3. How can I use the GCD of 442, 117, 709, 652Calculator?

Out the numbers 442, 117, 709, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.