Greatest Common Factor of 236/68, 267/78, 298/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/68, 267/78, 298/348

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 236/68,267/78,298/348

Given fractions are 236/68,267/78,298/348

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 236,267,298

Greatest Common Factor of Numerators i.e. GCF of 236,267,298 is 1 .

LCM of Denominators means LCM of 68,78,348 as per the given fractions.

LCM of 68,78,348 is 76908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,267,298

GCF of Fractions 236/68,267/78,298/348 is 1/76908

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

Greatest Common Factor of 236,267,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,267,298 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 236,267,298 . The biggest common factor number is the GCF number.
So the greatest common factor 236,267,298 is 1.

Lets's calculate LCM of 68,78,348

2 68, 78, 348
2 34, 39, 174
3 17, 39, 87
17, 13, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 13 x 29 = 76908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76908

Therefore, the GCF of Fractions 236/68,267/78,298/348 is 1/76908

Least Common Multiple of 68,78,348 with GCF Formula

Least Common Multiple of 68,78,348 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 68,78,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,78,348) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(68,78,348) x common factors =2 x 12 = 24

LCM(68,78,348) = ( 68 × 78 × 348 ) / 24

LCM(68,78,348) = 1845792 / 24

LCM(68,78,348) = 76908


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 236/68, 267/78, 298/348

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 236/68, 267/78, 298/348?

Answer: GCF of Numerators as per given numbers 236/68, 267/78, 298/348 is

GCF of Numerators i.e. for 236,267,298 is 1

LCM of denominators i.e. for 68,78,348 is 76908.

Thus, GCF of Fractions is 1/76908.Finally, GCF of Fractions for 236/68, 267/78, 298/348 is 1/76908.