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GCD of 741, 740, 492, 655 Calculator

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


Online GCD Calculator is useful to find the GCD of 741, 740, 492, 655 quickly. Get the easiest ways to solve the greatest common divisor of 741, 740, 492, 655 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 741, 740, 492, 655 with Factoring?

Given Input numbers are 741, 740, 492, 655

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

Divisors of 741 :

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

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655


GCD of numbers is the greatest common divisor

So, the GCD (741, 740, 492, 655) = 1.

Find GCD of 741, 740, 492, 655 using Prime Factorization

Given numbers are 741, 740, 492, 655

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 740 are 2 x 2 x 5 x 37

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

Prime factors of 655 are 5 x 131

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

Steps to Calculate GCD of 741, 740, 492, 655 using LCM Formula

Given numbers are 741, 740, 492, 655

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

Apply this formula for all numbers.

Step1:

LCM(741, 740) = 548340

GCD(741, 740) = ( 741 x 740 ) / 548340

= 741 / 740

= 741


Step2:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1


Step3:

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

= 1 / 655

= 1


So, Greatest Common Divisor of 741, 740, 492, 655 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 741, 740, 492, 655

Given numbers are 741, 740, 492, 655
The greatest common divisor of numbers 741, 740, 492, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 740, 492, 655 is 1.

FAQs on GCD of 741, 740, 492, 655 Calculator

1. What is the GCD of 741, 740, 492, 655?

GCD of given numbers 741, 740, 492, 655 is 1


2. How to calculate the greatest common divisor of 741, 740, 492, 655?

We can find the highest common divisor of 741, 740, 492, 655 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 741, 740, 492, 655 i.e 1.


3. How can I use the GCD of 741, 740, 492, 655Calculator?

Out the numbers 741, 740, 492, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.