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GCD of 492, 649, 745, 302 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, 649, 745, 302 quickly. Get the easiest ways to solve the greatest common divisor of 492, 649, 745, 302 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 649, 745, 302 with Factoring?

Given Input numbers are 492, 649, 745, 302

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 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302


GCD of numbers is the greatest common divisor

So, the GCD (492, 649, 745, 302) = 1.

Find GCD of 492, 649, 745, 302 using Prime Factorization

Given numbers are 492, 649, 745, 302

The list of prime factors of all numbers are

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

Prime factors of 649 are 11 x 59

Prime factors of 745 are 5 x 149

Prime factors of 302 are 2 x 151

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

Steps to Calculate GCD of 492, 649, 745, 302 using LCM Formula

Given numbers are 492, 649, 745, 302

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

Apply this formula for all numbers.

Step1:

LCM(492, 649) = 319308

GCD(492, 649) = ( 492 x 649 ) / 319308

= 492 / 649

= 492


Step2:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1


Step3:

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

= 1 / 302

= 1


So, Greatest Common Divisor of 492, 649, 745, 302 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 649, 745, 302

Given numbers are 492, 649, 745, 302
The greatest common divisor of numbers 492, 649, 745, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 649, 745, 302 is 1.

FAQs on GCD of 492, 649, 745, 302 Calculator

1. What is the GCD of 492, 649, 745, 302?

GCD of given numbers 492, 649, 745, 302 is 1


2. How to calculate the greatest common divisor of 492, 649, 745, 302?

We can find the highest common divisor of 492, 649, 745, 302 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, 649, 745, 302 i.e 1.


3. How can I use the GCD of 492, 649, 745, 302Calculator?

Out the numbers 492, 649, 745, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.