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GCD of 497, 744, 441, 702 Calculator

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


Online GCD Calculator is useful to find the GCD of 497, 744, 441, 702 quickly. Get the easiest ways to solve the greatest common divisor of 497, 744, 441, 702 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 497, 744, 441, 702 with Factoring?

Given Input numbers are 497, 744, 441, 702

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (497, 744, 441, 702) = 1.

Find GCD of 497, 744, 441, 702 using Prime Factorization

Given numbers are 497, 744, 441, 702

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 497, 744, 441, 702 using LCM Formula

Given numbers are 497, 744, 441, 702

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

Apply this formula for all numbers.

Step1:

LCM(497, 744) = 369768

GCD(497, 744) = ( 497 x 744 ) / 369768

= 497 / 744

= 497


Step2:

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

= 1 / 441

= 1


Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1


So, Greatest Common Divisor of 497, 744, 441, 702 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 497, 744, 441, 702

Given numbers are 497, 744, 441, 702
The greatest common divisor of numbers 497, 744, 441, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 744, 441, 702 is 1.

FAQs on GCD of 497, 744, 441, 702 Calculator

1. What is the GCD of 497, 744, 441, 702?

GCD of given numbers 497, 744, 441, 702 is 1


2. How to calculate the greatest common divisor of 497, 744, 441, 702?

We can find the highest common divisor of 497, 744, 441, 702 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 497, 744, 441, 702 i.e 1.


3. How can I use the GCD of 497, 744, 441, 702Calculator?

Out the numbers 497, 744, 441, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.