Greatest Common Factor of 841/360, 1741/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 841/360, 1741/755

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 841/360,1741/755

Given fractions are 841/360,1741/755

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 841,1741

Greatest Common Factor of Numerators i.e. GCF of 841,1741 is 1 .

LCM of Denominators means LCM of 360,755 as per the given fractions.

LCM of 360,755 is 54360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 841,1741

GCF of Fractions 841/360,1741/755 is 1/54360

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 841,1741 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,1741 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 1741

List of positive integer factors of 1741 that divides 1741 without a remainder.

1,1741

Greatest Common Factor

We found the factors 841,1741 . The biggest common factor number is the GCF number.
So the greatest common factor 841,1741 is 1.

Lets's calculate LCM of 360,755

5 360, 755
72, 151

∴ So the LCM of the given numbers is 5 x 72 x 151 = 54360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54360

Therefore, the GCF of Fractions 841/360,1741/755 is 1/54360

Least Common Multiple of 360,755 with GCF Formula

Least Common Multiple of 360,755 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 360,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,755) = 5

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

GCF(360,755) x common factors =5 x 1 = 5

LCM(360,755) = ( 360 × 755 ) / 5

LCM(360,755) = 271800 / 5

LCM(360,755) = 54360


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 841/360, 1741/755

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 841/360, 1741/755?

Answer: GCF of Numerators as per given numbers 841/360, 1741/755 is

GCF of Numerators i.e. for 841,1741 is 1

LCM of denominators i.e. for 360,755 is 54360.

Thus, GCF of Fractions is 1/54360.Finally, GCF of Fractions for 841/360, 1741/755 is 1/54360.