Greatest Common Factor of 68/74, 954/15, 270/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/74, 954/15, 270/269

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 68/74,954/15,270/269

Given fractions are 68/74,954/15,270/269

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 68,954,270

Greatest Common Factor of Numerators i.e. GCF of 68,954,270 is 2 .

LCM of Denominators means LCM of 74,15,269 as per the given fractions.

LCM of 74,15,269 is 298590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,954,270

GCF of Fractions 68/74,954/15,270/269 is 2/298590

2 68, 954, 270
34, 477, 135

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 68,954,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,954,270 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 68,954,270 . The biggest common factor number is the GCF number.
So the greatest common factor 68,954,270 is 2.

Lets's calculate LCM of 74,15,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 298590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/298590

Therefore, the GCF of Fractions 68/74,954/15,270/269 is 2/298590

Least Common Multiple of 74,15,269 with GCF Formula

Least Common Multiple of 74,15,269 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 74,15,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,15,269) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(74,15,269) x common factors =1 x 1 = 1

LCM(74,15,269) = ( 74 × 15 × 269 ) / 1

LCM(74,15,269) = 298590 / 1

LCM(74,15,269) = 298590


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 68/74, 954/15, 270/269

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 68/74, 954/15, 270/269?

Answer: GCF of Numerators as per given numbers 68/74, 954/15, 270/269 is

GCF of Numerators i.e. for 68,954,270 is 2

LCM of denominators i.e. for 74,15,269 is 298590.

Thus, GCF of Fractions is 2/298590.Finally, GCF of Fractions for 68/74, 954/15, 270/269 is 2/298590.