Greatest Common Factor of 71/140, 562/325, 558/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/140, 562/325, 558/644

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 71/140,562/325,558/644

Given fractions are 71/140,562/325,558/644

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 71,562,558

Greatest Common Factor of Numerators i.e. GCF of 71,562,558 is 1 .

LCM of Denominators means LCM of 140,325,644 as per the given fractions.

LCM of 140,325,644 is 209300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,562,558

GCF of Fractions 71/140,562/325,558/644 is 1/209300

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

Greatest Common Factor of 71,562,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,562,558 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 71,562,558 . The biggest common factor number is the GCF number.
So the greatest common factor 71,562,558 is 1.

Lets's calculate LCM of 140,325,644

2 140, 325, 644
2 70, 325, 322
5 35, 325, 161
7 7, 65, 161
1, 65, 23

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 65 x 23 = 209300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209300

Therefore, the GCF of Fractions 71/140,562/325,558/644 is 1/209300

Least Common Multiple of 140,325,644 with GCF Formula

Least Common Multiple of 140,325,644 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 140,325,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,325,644) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(140,325,644) x common factors =1 x 140 = 140

LCM(140,325,644) = ( 140 × 325 × 644 ) / 140

LCM(140,325,644) = 29302000 / 140

LCM(140,325,644) = 209300


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 71/140, 562/325, 558/644

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 71/140, 562/325, 558/644?

Answer: GCF of Numerators as per given numbers 71/140, 562/325, 558/644 is

GCF of Numerators i.e. for 71,562,558 is 1

LCM of denominators i.e. for 140,325,644 is 209300.

Thus, GCF of Fractions is 1/209300.Finally, GCF of Fractions for 71/140, 562/325, 558/644 is 1/209300.