Greatest Common Factor of 70/14, 152/94, 117/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/14, 152/94, 117/367

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 70/14,152/94,117/367

Given fractions are 70/14,152/94,117/367

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 70,152,117

Greatest Common Factor of Numerators i.e. GCF of 70,152,117 is 1 .

LCM of Denominators means LCM of 14,94,367 as per the given fractions.

LCM of 14,94,367 is 241486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,152,117

GCF of Fractions 70/14,152/94,117/367 is 1/241486

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

Greatest Common Factor of 70,152,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,152,117 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 70,152,117 . The biggest common factor number is the GCF number.
So the greatest common factor 70,152,117 is 1.

Lets's calculate LCM of 14,94,367

2 14, 94, 367
7, 47, 367

∴ So the LCM of the given numbers is 2 x 7 x 47 x 367 = 241486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241486

Therefore, the GCF of Fractions 70/14,152/94,117/367 is 1/241486

Least Common Multiple of 14,94,367 with GCF Formula

Least Common Multiple of 14,94,367 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 14,94,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,94,367) = 1

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

GCF(14,94,367) x common factors =1 x 2 = 2

LCM(14,94,367) = ( 14 × 94 × 367 ) / 2

LCM(14,94,367) = 482972 / 2

LCM(14,94,367) = 241486


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 70/14, 152/94, 117/367

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 70/14, 152/94, 117/367?

Answer: GCF of Numerators as per given numbers 70/14, 152/94, 117/367 is

GCF of Numerators i.e. for 70,152,117 is 1

LCM of denominators i.e. for 14,94,367 is 241486.

Thus, GCF of Fractions is 1/241486.Finally, GCF of Fractions for 70/14, 152/94, 117/367 is 1/241486.