Greatest Common Factor of 117/310, 465/722, 978/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 117/310, 465/722, 978/667

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 117/310,465/722,978/667

Given fractions are 117/310,465/722,978/667

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 117,465,978

Greatest Common Factor of Numerators i.e. GCF of 117,465,978 is 3 .

LCM of Denominators means LCM of 310,722,667 as per the given fractions.

LCM of 310,722,667 is 74643970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 117,465,978

GCF of Fractions 117/310,465/722,978/667 is 3/74643970

3 117, 465, 978
39, 155, 326

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 117,465,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,465,978 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 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 117,465,978 . The biggest common factor number is the GCF number.
So the greatest common factor 117,465,978 is 3.

Lets's calculate LCM of 310,722,667

2 310, 722, 667
155, 361, 667

∴ So the LCM of the given numbers is 2 x 155 x 361 x 667 = 74643970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74643970

Therefore, the GCF of Fractions 117/310,465/722,978/667 is 3/74643970

Least Common Multiple of 310,722,667 with GCF Formula

Least Common Multiple of 310,722,667 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 310,722,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,722,667) = 1

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

GCF(310,722,667) x common factors =1 x 2 = 2

LCM(310,722,667) = ( 310 × 722 × 667 ) / 2

LCM(310,722,667) = 149287940 / 2

LCM(310,722,667) = 74643970


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 117/310, 465/722, 978/667

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 117/310, 465/722, 978/667?

Answer: GCF of Numerators as per given numbers 117/310, 465/722, 978/667 is

GCF of Numerators i.e. for 117,465,978 is 3

LCM of denominators i.e. for 310,722,667 is 74643970.

Thus, GCF of Fractions is 3/74643970.Finally, GCF of Fractions for 117/310, 465/722, 978/667 is 3/74643970.