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GCD of 130, 568, 709, 734 Calculator

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


Online GCD Calculator is useful to find the GCD of 130, 568, 709, 734 quickly. Get the easiest ways to solve the greatest common divisor of 130, 568, 709, 734 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 568, 709, 734 with Factoring?

Given Input numbers are 130, 568, 709, 734

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 709 :

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

1, 709

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734


GCD of numbers is the greatest common divisor

So, the GCD (130, 568, 709, 734) = 1.

Find GCD of 130, 568, 709, 734 using Prime Factorization

Given numbers are 130, 568, 709, 734

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 709 are 709

Prime factors of 734 are 2 x 367

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

Steps to Calculate GCD of 130, 568, 709, 734 using LCM Formula

Given numbers are 130, 568, 709, 734

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

Apply this formula for all numbers.

Step1:

LCM(130, 568) = 36920

GCD(130, 568) = ( 130 x 568 ) / 36920

= 130 / 568

= 130


Step2:

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

= 2 / 709

= 2


Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1


So, Greatest Common Divisor of 130, 568, 709, 734 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 568, 709, 734

Given numbers are 130, 568, 709, 734
The greatest common divisor of numbers 130, 568, 709, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 568, 709, 734 is 1.

FAQs on GCD of 130, 568, 709, 734 Calculator

1. What is the GCD of 130, 568, 709, 734?

GCD of given numbers 130, 568, 709, 734 is 1


2. How to calculate the greatest common divisor of 130, 568, 709, 734?

We can find the highest common divisor of 130, 568, 709, 734 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 130, 568, 709, 734 i.e 1.


3. How can I use the GCD of 130, 568, 709, 734Calculator?

Out the numbers 130, 568, 709, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.