Greatest Common Factor of 3/84, 72/40, 78/499, 115/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/84, 72/40, 78/499, 115/253

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 3/84,72/40,78/499,115/253

Given fractions are 3/84,72/40,78/499,115/253

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 3,72,78,115

Greatest Common Factor of Numerators i.e. GCF of 3,72,78,115 is 1 .

LCM of Denominators means LCM of 84,40,499,253 as per the given fractions.

LCM of 84,40,499,253 is 106047480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,72,78,115

GCF of Fractions 3/84,72/40,78/499,115/253 is 1/106047480

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

Greatest Common Factor of 3,72,78,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,72,78,115 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 3,72,78,115 . The biggest common factor number is the GCF number.
So the greatest common factor 3,72,78,115 is 1.

Lets's calculate LCM of 84,40,499,253

2 84, 40, 499, 253
2 42, 20, 499, 253
21, 10, 499, 253

∴ So the LCM of the given numbers is 2 x 2 x 21 x 10 x 499 x 253 = 106047480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106047480

Therefore, the GCF of Fractions 3/84,72/40,78/499,115/253 is 1/106047480

Least Common Multiple of 84,40,499,253 with GCF Formula

Least Common Multiple of 84,40,499,253 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 84,40,499,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,40,499,253) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,40,499,253) x common factors =1 x 4 = 4

LCM(84,40,499,253) = ( 84 × 40 × 499 × 253 ) / 4

LCM(84,40,499,253) = 424189920 / 4

LCM(84,40,499,253) = 106047480


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 3/84, 72/40, 78/499, 115/253

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 3/84, 72/40, 78/499, 115/253?

Answer: GCF of Numerators as per given numbers 3/84, 72/40, 78/499, 115/253 is

GCF of Numerators i.e. for 3,72,78,115 is 1

LCM of denominators i.e. for 84,40,499,253 is 106047480.

Thus, GCF of Fractions is 1/106047480.Finally, GCF of Fractions for 3/84, 72/40, 78/499, 115/253 is 1/106047480.