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GCD of 202, 400, 741, 379 Calculator

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


Online GCD Calculator is useful to find the GCD of 202, 400, 741, 379 quickly. Get the easiest ways to solve the greatest common divisor of 202, 400, 741, 379 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 202, 400, 741, 379 with Factoring?

Given Input numbers are 202, 400, 741, 379

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

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379


GCD of numbers is the greatest common divisor

So, the GCD (202, 400, 741, 379) = 1.

Find GCD of 202, 400, 741, 379 using Prime Factorization

Given numbers are 202, 400, 741, 379

The list of prime factors of all numbers are

Prime factors of 202 are 2 x 101

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 741 are 3 x 13 x 19

Prime factors of 379 are 379

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

Steps to Calculate GCD of 202, 400, 741, 379 using LCM Formula

Given numbers are 202, 400, 741, 379

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

Apply this formula for all numbers.

Step1:

LCM(202, 400) = 40400

GCD(202, 400) = ( 202 x 400 ) / 40400

= 202 / 400

= 202


Step2:

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

= 2 / 741

= 2


Step3:

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

= 1 / 379

= 1


So, Greatest Common Divisor of 202, 400, 741, 379 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 202, 400, 741, 379

Given numbers are 202, 400, 741, 379
The greatest common divisor of numbers 202, 400, 741, 379 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 400, 741, 379 is 1.

FAQs on GCD of 202, 400, 741, 379 Calculator

1. What is the GCD of 202, 400, 741, 379?

GCD of given numbers 202, 400, 741, 379 is 1


2. How to calculate the greatest common divisor of 202, 400, 741, 379?

We can find the highest common divisor of 202, 400, 741, 379 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 202, 400, 741, 379 i.e 1.


3. How can I use the GCD of 202, 400, 741, 379Calculator?

Out the numbers 202, 400, 741, 379 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.