Greatest Common Factor of 117/918, 608/261, 547/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 117/918, 608/261, 547/378

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 117/918,608/261,547/378

Given fractions are 117/918,608/261,547/378

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 117,608,547

Greatest Common Factor of Numerators i.e. GCF of 117,608,547 is 1 .

LCM of Denominators means LCM of 918,261,378 as per the given fractions.

LCM of 918,261,378 is 186354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 117,608,547

GCF of Fractions 117/918,608/261,547/378 is 1/186354

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

Greatest Common Factor of 117,608,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,608,547 By Matching Biggest Common Factor Method

Factors of 117

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

1,3,9,13,39,117

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 117,608,547 . The biggest common factor number is the GCF number.
So the greatest common factor 117,608,547 is 1.

Lets's calculate LCM of 918,261,378

2 918, 261, 378
3 459, 261, 189
3 153, 87, 63
3 51, 29, 21
17, 29, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 17 x 29 x 7 = 186354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186354

Therefore, the GCF of Fractions 117/918,608/261,547/378 is 1/186354

Least Common Multiple of 918,261,378 with GCF Formula

Least Common Multiple of 918,261,378 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 918,261,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,261,378) = 9

common factors(in case of two or more numbers have common factors) = 54

GCF(918,261,378) x common factors =9 x 54 = 486

LCM(918,261,378) = ( 918 × 261 × 378 ) / 486

LCM(918,261,378) = 90568044 / 486

LCM(918,261,378) = 186354


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 117/918, 608/261, 547/378

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 117/918, 608/261, 547/378?

Answer: GCF of Numerators as per given numbers 117/918, 608/261, 547/378 is

GCF of Numerators i.e. for 117,608,547 is 1

LCM of denominators i.e. for 918,261,378 is 186354.

Thus, GCF of Fractions is 1/186354.Finally, GCF of Fractions for 117/918, 608/261, 547/378 is 1/186354.