Greatest Common Factor of 9782/268, 2292/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9782/268, 2292/178

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 9782/268,2292/178

Given fractions are 9782/268,2292/178

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 9782,2292

Greatest Common Factor of Numerators i.e. GCF of 9782,2292 is 2 .

LCM of Denominators means LCM of 268,178 as per the given fractions.

LCM of 268,178 is 23852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9782,2292

GCF of Fractions 9782/268,2292/178 is 2/23852

2 9782, 2292
4891, 1146

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

Greatest Common Factor of 9782,2292 By Matching Biggest Common Factor Method

Greatest Common Factor of 9782,2292 By Matching Biggest Common Factor Method

Factors of 9782

List of positive integer factors of 9782 that divides 9782 without a remainder.

1,2,67,73,134,146,4891,9782

Factors of 2292

List of positive integer factors of 2292 that divides 2292 without a remainder.

1,2,3,4,6,12,191,382,573,764,1146,2292

Greatest Common Factor

We found the factors 9782,2292 . The biggest common factor number is the GCF number.
So the greatest common factor 9782,2292 is 2.

Lets's calculate LCM of 268,178

2 268, 178
134, 89

∴ So the LCM of the given numbers is 2 x 134 x 89 = 23852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23852

Therefore, the GCF of Fractions 9782/268,2292/178 is 2/23852

Least Common Multiple of 268,178 with GCF Formula

Least Common Multiple of 268,178 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 268,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,178) = 2

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

GCF(268,178) x common factors =2 x 1 = 2

LCM(268,178) = ( 268 × 178 ) / 2

LCM(268,178) = 47704 / 2

LCM(268,178) = 23852


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 9782/268, 2292/178

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 9782/268, 2292/178?

Answer: GCF of Numerators as per given numbers 9782/268, 2292/178 is

GCF of Numerators i.e. for 9782,2292 is 2

LCM of denominators i.e. for 268,178 is 23852.

Thus, GCF of Fractions is 2/23852.Finally, GCF of Fractions for 9782/268, 2292/178 is 2/23852.