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GCD of 492, 592, 650, 741 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 592, 650, 741 quickly. Get the easiest ways to solve the greatest common divisor of 492, 592, 650, 741 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 592, 650, 741 with Factoring?

Given Input numbers are 492, 592, 650, 741

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741


GCD of numbers is the greatest common divisor

So, the GCD (492, 592, 650, 741) = 1.

Find GCD of 492, 592, 650, 741 using Prime Factorization

Given numbers are 492, 592, 650, 741

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

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

Prime factors of 741 are 3 x 13 x 19

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

Steps to Calculate GCD of 492, 592, 650, 741 using LCM Formula

Given numbers are 492, 592, 650, 741

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

Apply this formula for all numbers.

Step1:

LCM(492, 592) = 72816

GCD(492, 592) = ( 492 x 592 ) / 72816

= 492 / 592

= 492


Step2:

LCM(4, 650) = 1300

GCD(4, 650) = ( 4 x 650 ) / 1300

= 4 / 650

= 4


Step3:

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

= 2 / 741

= 2


So, Greatest Common Divisor of 492, 592, 650, 741 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 592, 650, 741

Given numbers are 492, 592, 650, 741
The greatest common divisor of numbers 492, 592, 650, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 592, 650, 741 is 1.

FAQs on GCD of 492, 592, 650, 741 Calculator

1. What is the GCD of 492, 592, 650, 741?

GCD of given numbers 492, 592, 650, 741 is 1


2. How to calculate the greatest common divisor of 492, 592, 650, 741?

We can find the highest common divisor of 492, 592, 650, 741 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 492, 592, 650, 741 i.e 1.


3. How can I use the GCD of 492, 592, 650, 741Calculator?

Out the numbers 492, 592, 650, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.