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GCD of 743, 780, 382, 660 Calculator

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


Online GCD Calculator is useful to find the GCD of 743, 780, 382, 660 quickly. Get the easiest ways to solve the greatest common divisor of 743, 780, 382, 660 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 743, 780, 382, 660 with Factoring?

Given Input numbers are 743, 780, 382, 660

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

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (743, 780, 382, 660) = 1.

Find GCD of 743, 780, 382, 660 using Prime Factorization

Given numbers are 743, 780, 382, 660

The list of prime factors of all numbers are

Prime factors of 743 are 743

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 382 are 2 x 191

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Steps to Calculate GCD of 743, 780, 382, 660 using LCM Formula

Given numbers are 743, 780, 382, 660

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

Apply this formula for all numbers.

Step1:

LCM(743, 780) = 579540

GCD(743, 780) = ( 743 x 780 ) / 579540

= 743 / 780

= 743


Step2:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1


Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


So, Greatest Common Divisor of 743, 780, 382, 660 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 743, 780, 382, 660

Given numbers are 743, 780, 382, 660
The greatest common divisor of numbers 743, 780, 382, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 780, 382, 660 is 1.

FAQs on GCD of 743, 780, 382, 660 Calculator

1. What is the GCD of 743, 780, 382, 660?

GCD of given numbers 743, 780, 382, 660 is 1


2. How to calculate the greatest common divisor of 743, 780, 382, 660?

We can find the highest common divisor of 743, 780, 382, 660 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 743, 780, 382, 660 i.e 1.


3. How can I use the GCD of 743, 780, 382, 660Calculator?

Out the numbers 743, 780, 382, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.