Greatest Common Factor of 1790/361, 7405/1881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1790/361, 7405/1881

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1790/361,7405/1881

Given fractions are 1790/361,7405/1881

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1790,7405

Greatest Common Factor of Numerators i.e. GCF of 1790,7405 is 5 .

LCM of Denominators means LCM of 361,1881 as per the given fractions.

LCM of 361,1881 is 35739 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1790,7405

GCF of Fractions 1790/361,7405/1881 is 5/35739

5 1790, 7405
358, 1481

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1790,7405 By Matching Biggest Common Factor Method

Greatest Common Factor of 1790,7405 By Matching Biggest Common Factor Method

Factors of 1790

List of positive integer factors of 1790 that divides 1790 without a remainder.

1,2,5,10,179,358,895,1790

Factors of 7405

List of positive integer factors of 7405 that divides 7405 without a remainder.

1,5,1481,7405

Greatest Common Factor

We found the factors 1790,7405 . The biggest common factor number is the GCF number.
So the greatest common factor 1790,7405 is 5.

Lets's calculate LCM of 361,1881

19 361, 1881
19, 99

∴ So the LCM of the given numbers is 19 x 19 x 99 = 35739

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/35739

Therefore, the GCF of Fractions 1790/361,7405/1881 is 5/35739

Least Common Multiple of 361,1881 with GCF Formula

Least Common Multiple of 361,1881 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 361,1881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,1881) = 19

common factors(in case of two or more numbers have common factors) = 1

GCF(361,1881) x common factors =19 x 1 = 19

LCM(361,1881) = ( 361 × 1881 ) / 19

LCM(361,1881) = 679041 / 19

LCM(361,1881) = 35739


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1790/361, 7405/1881

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 1790/361, 7405/1881?

Answer: GCF of Numerators as per given numbers 1790/361, 7405/1881 is

GCF of Numerators i.e. for 1790,7405 is 5

LCM of denominators i.e. for 361,1881 is 35739.

Thus, GCF of Fractions is 5/35739.Finally, GCF of Fractions for 1790/361, 7405/1881 is 5/35739.