Greatest Common Factor of 268/78, 9255/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/78, 9255/474

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 268/78,9255/474

Given fractions are 268/78,9255/474

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 268,9255

Greatest Common Factor of Numerators i.e. GCF of 268,9255 is 1 .

LCM of Denominators means LCM of 78,474 as per the given fractions.

LCM of 78,474 is 6162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,9255

GCF of Fractions 268/78,9255/474 is 1/6162

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

Greatest Common Factor of 268,9255 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,9255 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1,3,5,15,617,1851,3085,9255

Greatest Common Factor

We found the factors 268,9255 . The biggest common factor number is the GCF number.
So the greatest common factor 268,9255 is 1.

Lets's calculate LCM of 78,474

2 78, 474
3 39, 237
13, 79

∴ So the LCM of the given numbers is 2 x 3 x 13 x 79 = 6162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6162

Therefore, the GCF of Fractions 268/78,9255/474 is 1/6162

Least Common Multiple of 78,474 with GCF Formula

Least Common Multiple of 78,474 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 78,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,474) = 6

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

GCF(78,474) x common factors =6 x 1 = 6

LCM(78,474) = ( 78 × 474 ) / 6

LCM(78,474) = 36972 / 6

LCM(78,474) = 6162


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 268/78, 9255/474

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 268/78, 9255/474?

Answer: GCF of Numerators as per given numbers 268/78, 9255/474 is

GCF of Numerators i.e. for 268,9255 is 1

LCM of denominators i.e. for 78,474 is 6162.

Thus, GCF of Fractions is 1/6162.Finally, GCF of Fractions for 268/78, 9255/474 is 1/6162.