Greatest Common Factor of 141/40, 897/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 141/40, 897/112

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 141/40,897/112

Given fractions are 141/40,897/112

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 141,897

Greatest Common Factor of Numerators i.e. GCF of 141,897 is 3 .

LCM of Denominators means LCM of 40,112 as per the given fractions.

LCM of 40,112 is 560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 141,897

GCF of Fractions 141/40,897/112 is 3/560

3 141, 897
47, 299

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 141,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,897 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 141,897 . The biggest common factor number is the GCF number.
So the greatest common factor 141,897 is 3.

Lets's calculate LCM of 40,112

2 40, 112
2 20, 56
2 10, 28
5, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 14 = 560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/560

Therefore, the GCF of Fractions 141/40,897/112 is 3/560

Least Common Multiple of 40,112 with GCF Formula

Least Common Multiple of 40,112 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 40,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,112) = 8

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

GCF(40,112) x common factors =8 x 1 = 8

LCM(40,112) = ( 40 × 112 ) / 8

LCM(40,112) = 4480 / 8

LCM(40,112) = 560


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 141/40, 897/112

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 141/40, 897/112?

Answer: GCF of Numerators as per given numbers 141/40, 897/112 is

GCF of Numerators i.e. for 141,897 is 3

LCM of denominators i.e. for 40,112 is 560.

Thus, GCF of Fractions is 3/560.Finally, GCF of Fractions for 141/40, 897/112 is 3/560.