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GCD of 702, 746, 765, 506 Calculator

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


Online GCD Calculator is useful to find the GCD of 702, 746, 765, 506 quickly. Get the easiest ways to solve the greatest common divisor of 702, 746, 765, 506 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 702, 746, 765, 506 with Factoring?

Given Input numbers are 702, 746, 765, 506

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

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506


GCD of numbers is the greatest common divisor

So, the GCD (702, 746, 765, 506) = 1.

Find GCD of 702, 746, 765, 506 using Prime Factorization

Given numbers are 702, 746, 765, 506

The list of prime factors of all numbers are

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

Prime factors of 746 are 2 x 373

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 506 are 2 x 11 x 23

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

Steps to Calculate GCD of 702, 746, 765, 506 using LCM Formula

Given numbers are 702, 746, 765, 506

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

Apply this formula for all numbers.

Step1:

LCM(702, 746) = 261846

GCD(702, 746) = ( 702 x 746 ) / 261846

= 702 / 746

= 702


Step2:

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

= 2 / 765

= 2


Step3:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1


So, Greatest Common Divisor of 702, 746, 765, 506 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 702, 746, 765, 506

Given numbers are 702, 746, 765, 506
The greatest common divisor of numbers 702, 746, 765, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 746, 765, 506 is 1.

FAQs on GCD of 702, 746, 765, 506 Calculator

1. What is the GCD of 702, 746, 765, 506?

GCD of given numbers 702, 746, 765, 506 is 1


2. How to calculate the greatest common divisor of 702, 746, 765, 506?

We can find the highest common divisor of 702, 746, 765, 506 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 702, 746, 765, 506 i.e 1.


3. How can I use the GCD of 702, 746, 765, 506Calculator?

Out the numbers 702, 746, 765, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.