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GCD of 650, 584, 674, 792 Calculator

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


Online GCD Calculator is useful to find the GCD of 650, 584, 674, 792 quickly. Get the easiest ways to solve the greatest common divisor of 650, 584, 674, 792 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 650, 584, 674, 792 with Factoring?

Given Input numbers are 650, 584, 674, 792

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

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792


GCD of numbers is the greatest common divisor

So, the GCD (650, 584, 674, 792) = 2.

Find GCD of 650, 584, 674, 792 using Prime Factorization

Given numbers are 650, 584, 674, 792

The list of prime factors of all numbers are

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 674 are 2 x 337

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 650, 584, 674, 792 is 2.

Steps to Calculate GCD of 650, 584, 674, 792 using LCM Formula

Given numbers are 650, 584, 674, 792

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

Apply this formula for all numbers.

Step1:

LCM(650, 584) = 189800

GCD(650, 584) = ( 650 x 584 ) / 189800

= 650 / 584

= 650


Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2


Step3:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2


So, Greatest Common Divisor of 650, 584, 674, 792 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 650, 584, 674, 792

Given numbers are 650, 584, 674, 792
The greatest common divisor of numbers 650, 584, 674, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 584, 674, 792 is 2.

FAQs on GCD of 650, 584, 674, 792 Calculator

1. What is the GCD of 650, 584, 674, 792?

GCD of given numbers 650, 584, 674, 792 is 2


2. How to calculate the greatest common divisor of 650, 584, 674, 792?

We can find the highest common divisor of 650, 584, 674, 792 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 650, 584, 674, 792 i.e 2.


3. How can I use the GCD of 650, 584, 674, 792Calculator?

Out the numbers 650, 584, 674, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.