Greatest Common Factor of 78/49, 71/84, 602/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/49, 71/84, 602/273

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 78/49,71/84,602/273

Given fractions are 78/49,71/84,602/273

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 78,71,602

Greatest Common Factor of Numerators i.e. GCF of 78,71,602 is 1 .

LCM of Denominators means LCM of 49,84,273 as per the given fractions.

LCM of 49,84,273 is 7644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,71,602

GCF of Fractions 78/49,71/84,602/273 is 1/7644

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

Greatest Common Factor of 78,71,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,71,602 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 71

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

1,71

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 78,71,602 . The biggest common factor number is the GCF number.
So the greatest common factor 78,71,602 is 1.

Lets's calculate LCM of 49,84,273

3 49, 84, 273
7 49, 28, 91
7, 4, 13

∴ So the LCM of the given numbers is 3 x 7 x 7 x 4 x 13 = 7644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7644

Therefore, the GCF of Fractions 78/49,71/84,602/273 is 1/7644

Least Common Multiple of 49,84,273 with GCF Formula

Least Common Multiple of 49,84,273 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 49,84,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,84,273) = 7

common factors(in case of two or more numbers have common factors) = 21

GCF(49,84,273) x common factors =7 x 21 = 147

LCM(49,84,273) = ( 49 × 84 × 273 ) / 147

LCM(49,84,273) = 1123668 / 147

LCM(49,84,273) = 7644


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 78/49, 71/84, 602/273

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 78/49, 71/84, 602/273?

Answer: GCF of Numerators as per given numbers 78/49, 71/84, 602/273 is

GCF of Numerators i.e. for 78,71,602 is 1

LCM of denominators i.e. for 49,84,273 is 7644.

Thus, GCF of Fractions is 1/7644.Finally, GCF of Fractions for 78/49, 71/84, 602/273 is 1/7644.