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GCD of 741, 879, 365, 100 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, 879, 365, 100 quickly. Get the easiest ways to solve the greatest common divisor of 741, 879, 365, 100 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 741, 879, 365, 100 with Factoring?

Given Input numbers are 741, 879, 365, 100

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 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100


GCD of numbers is the greatest common divisor

So, the GCD (741, 879, 365, 100) = 1.

Find GCD of 741, 879, 365, 100 using Prime Factorization

Given numbers are 741, 879, 365, 100

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 879 are 3 x 293

Prime factors of 365 are 5 x 73

Prime factors of 100 are 2 x 2 x 5 x 5

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

Steps to Calculate GCD of 741, 879, 365, 100 using LCM Formula

Given numbers are 741, 879, 365, 100

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

Apply this formula for all numbers.

Step1:

LCM(741, 879) = 217113

GCD(741, 879) = ( 741 x 879 ) / 217113

= 741 / 879

= 741


Step2:

LCM(3, 365) = 1095

GCD(3, 365) = ( 3 x 365 ) / 1095

= 3 / 365

= 3


Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1


So, Greatest Common Divisor of 741, 879, 365, 100 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 741, 879, 365, 100

Given numbers are 741, 879, 365, 100
The greatest common divisor of numbers 741, 879, 365, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 879, 365, 100 is 1.

FAQs on GCD of 741, 879, 365, 100 Calculator

1. What is the GCD of 741, 879, 365, 100?

GCD of given numbers 741, 879, 365, 100 is 1


2. How to calculate the greatest common divisor of 741, 879, 365, 100?

We can find the highest common divisor of 741, 879, 365, 100 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, 879, 365, 100 i.e 1.


3. How can I use the GCD of 741, 879, 365, 100Calculator?

Out the numbers 741, 879, 365, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.