Greatest Common Factor of 141/42, 470/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 141/42, 470/840

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 141/42,470/840

Given fractions are 141/42,470/840

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 141,470

Greatest Common Factor of Numerators i.e. GCF of 141,470 is 47 .

LCM of Denominators means LCM of 42,840 as per the given fractions.

LCM of 42,840 is 840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 141,470

GCF of Fractions 141/42,470/840 is 47/840

47 141, 470
3, 10

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 141,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,470 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 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 141,470 . The biggest common factor number is the GCF number.
So the greatest common factor 141,470 is 47.

Lets's calculate LCM of 42,840

2 42, 840
3 21, 420
7 7, 140
1, 20

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 20 = 840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/840

Therefore, the GCF of Fractions 141/42,470/840 is 47/840

Least Common Multiple of 42,840 with GCF Formula

Least Common Multiple of 42,840 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 42,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,840) = 42

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

GCF(42,840) x common factors =42 x 1 = 42

LCM(42,840) = ( 42 × 840 ) / 42

LCM(42,840) = 35280 / 42

LCM(42,840) = 840


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 141/42, 470/840

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 141/42, 470/840?

Answer: GCF of Numerators as per given numbers 141/42, 470/840 is

GCF of Numerators i.e. for 141,470 is 47

LCM of denominators i.e. for 42,840 is 840.

Thus, GCF of Fractions is 47/840.Finally, GCF of Fractions for 141/42, 470/840 is 47/840.