Greatest Common Factor of 141/742, 290/214, 703/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 141/742, 290/214, 703/285

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 141/742,290/214,703/285

Given fractions are 141/742,290/214,703/285

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 141,290,703

Greatest Common Factor of Numerators i.e. GCF of 141,290,703 is 1 .

LCM of Denominators means LCM of 742,214,285 as per the given fractions.

LCM of 742,214,285 is 22627290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 141,290,703

GCF of Fractions 141/742,290/214,703/285 is 1/22627290

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

Greatest Common Factor of 141,290,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,290,703 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 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 141,290,703 . The biggest common factor number is the GCF number.
So the greatest common factor 141,290,703 is 1.

Lets's calculate LCM of 742,214,285

2 742, 214, 285
371, 107, 285

∴ So the LCM of the given numbers is 2 x 371 x 107 x 285 = 22627290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22627290

Therefore, the GCF of Fractions 141/742,290/214,703/285 is 1/22627290

Least Common Multiple of 742,214,285 with GCF Formula

Least Common Multiple of 742,214,285 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 742,214,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,214,285) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(742,214,285) x common factors =1 x 2 = 2

LCM(742,214,285) = ( 742 × 214 × 285 ) / 2

LCM(742,214,285) = 45254580 / 2

LCM(742,214,285) = 22627290


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 141/742, 290/214, 703/285

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 141/742, 290/214, 703/285?

Answer: GCF of Numerators as per given numbers 141/742, 290/214, 703/285 is

GCF of Numerators i.e. for 141,290,703 is 1

LCM of denominators i.e. for 742,214,285 is 22627290.

Thus, GCF of Fractions is 1/22627290.Finally, GCF of Fractions for 141/742, 290/214, 703/285 is 1/22627290.