Greatest Common Factor of 1841/140, 7870/9725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1841/140, 7870/9725

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 1841/140,7870/9725

Given fractions are 1841/140,7870/9725

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 1841,7870

Greatest Common Factor of Numerators i.e. GCF of 1841,7870 is 1 .

LCM of Denominators means LCM of 140,9725 as per the given fractions.

LCM of 140,9725 is 272300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1841,7870

GCF of Fractions 1841/140,7870/9725 is 1/272300

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

Greatest Common Factor of 1841,7870 By Matching Biggest Common Factor Method

Greatest Common Factor of 1841,7870 By Matching Biggest Common Factor Method

Factors of 1841

List of positive integer factors of 1841 that divides 1841 without a remainder.

1,7,263,1841

Factors of 7870

List of positive integer factors of 7870 that divides 7870 without a remainder.

1,2,5,10,787,1574,3935,7870

Greatest Common Factor

We found the factors 1841,7870 . The biggest common factor number is the GCF number.
So the greatest common factor 1841,7870 is 1.

Lets's calculate LCM of 140,9725

5 140, 9725
28, 1945

∴ So the LCM of the given numbers is 5 x 28 x 1945 = 272300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272300

Therefore, the GCF of Fractions 1841/140,7870/9725 is 1/272300

Least Common Multiple of 140,9725 with GCF Formula

Least Common Multiple of 140,9725 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 140,9725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,9725) = 5

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

GCF(140,9725) x common factors =5 x 1 = 5

LCM(140,9725) = ( 140 × 9725 ) / 5

LCM(140,9725) = 1361500 / 5

LCM(140,9725) = 272300


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 1841/140, 7870/9725

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 1841/140, 7870/9725?

Answer: GCF of Numerators as per given numbers 1841/140, 7870/9725 is

GCF of Numerators i.e. for 1841,7870 is 1

LCM of denominators i.e. for 140,9725 is 272300.

Thus, GCF of Fractions is 1/272300.Finally, GCF of Fractions for 1841/140, 7870/9725 is 1/272300.