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GCD of 130, 436, 562, 764 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, 436, 562, 764 quickly. Get the easiest ways to solve the greatest common divisor of 130, 436, 562, 764 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 436, 562, 764 with Factoring?

Given Input numbers are 130, 436, 562, 764

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 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764


GCD of numbers is the greatest common divisor

So, the GCD (130, 436, 562, 764) = 2.

Find GCD of 130, 436, 562, 764 using Prime Factorization

Given numbers are 130, 436, 562, 764

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 436 are 2 x 2 x 109

Prime factors of 562 are 2 x 281

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 21

Therefore, GCD of 130, 436, 562, 764 is 2.

Steps to Calculate GCD of 130, 436, 562, 764 using LCM Formula

Given numbers are 130, 436, 562, 764

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

Apply this formula for all numbers.

Step1:

LCM(130, 436) = 28340

GCD(130, 436) = ( 130 x 436 ) / 28340

= 130 / 436

= 130


Step2:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2


Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2


So, Greatest Common Divisor of 130, 436, 562, 764 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 436, 562, 764

Given numbers are 130, 436, 562, 764
The greatest common divisor of numbers 130, 436, 562, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 436, 562, 764 is 2.

FAQs on GCD of 130, 436, 562, 764 Calculator

1. What is the GCD of 130, 436, 562, 764?

GCD of given numbers 130, 436, 562, 764 is 2


2. How to calculate the greatest common divisor of 130, 436, 562, 764?

We can find the highest common divisor of 130, 436, 562, 764 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, 436, 562, 764 i.e 2.


3. How can I use the GCD of 130, 436, 562, 764Calculator?

Out the numbers 130, 436, 562, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.