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GCD of 374, 210, 741 Calculator

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


Online GCD Calculator is useful to find the GCD of 374, 210, 741 quickly. Get the easiest ways to solve the greatest common divisor of 374, 210, 741 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 374, 210, 741 with Factoring?

Given Input numbers are 374, 210, 741

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 741 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (374, 210, 741) = 1.

Find GCD of 374, 210, 741 using Prime Factorization

Given numbers are 374, 210, 741

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 741 are 3 x 13 x 19

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

Steps to Calculate GCD of 374, 210, 741 using LCM Formula

Given numbers are 374, 210, 741

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

Apply this formula for all numbers.

Step1:

LCM(374, 210) = 39270

GCD(374, 210) = ( 374 x 210 ) / 39270

= 374 / 210

= 374


Step2:

LCM(2, 741) = 1482

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

= 2 / 741

= 2


So, Greatest Common Divisor of 374, 210, 741 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 374, 210, 741

Given numbers are 374, 210, 741
The greatest common divisor of numbers 374, 210, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 210, 741 is 1.

FAQs on GCD of 374, 210, 741 Calculator

1. What is the GCD of 374, 210, 741?

GCD of given numbers 374, 210, 741 is 1


2. How to calculate the greatest common divisor of 374, 210, 741?

We can find the highest common divisor of 374, 210, 741 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 374, 210, 741 i.e 1.


3. How can I use the GCD of 374, 210, 741Calculator?

Out the numbers 374, 210, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.