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GCD of 780, 742, 321, 133 Calculator

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


Online GCD Calculator is useful to find the GCD of 780, 742, 321, 133 quickly. Get the easiest ways to solve the greatest common divisor of 780, 742, 321, 133 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 742, 321, 133 with Factoring?

Given Input numbers are 780, 742, 321, 133

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

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133


GCD of numbers is the greatest common divisor

So, the GCD (780, 742, 321, 133) = 1.

Find GCD of 780, 742, 321, 133 using Prime Factorization

Given numbers are 780, 742, 321, 133

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 321 are 3 x 107

Prime factors of 133 are 7 x 19

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

Steps to Calculate GCD of 780, 742, 321, 133 using LCM Formula

Given numbers are 780, 742, 321, 133

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

Apply this formula for all numbers.

Step1:

LCM(780, 742) = 289380

GCD(780, 742) = ( 780 x 742 ) / 289380

= 780 / 742

= 780


Step2:

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

= 2 / 321

= 2


Step3:

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

= 1 / 133

= 1


So, Greatest Common Divisor of 780, 742, 321, 133 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 742, 321, 133

Given numbers are 780, 742, 321, 133
The greatest common divisor of numbers 780, 742, 321, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 742, 321, 133 is 1.

FAQs on GCD of 780, 742, 321, 133 Calculator

1. What is the GCD of 780, 742, 321, 133?

GCD of given numbers 780, 742, 321, 133 is 1


2. How to calculate the greatest common divisor of 780, 742, 321, 133?

We can find the highest common divisor of 780, 742, 321, 133 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 780, 742, 321, 133 i.e 1.


3. How can I use the GCD of 780, 742, 321, 133Calculator?

Out the numbers 780, 742, 321, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.