Greatest Common Factor of 2294/88, 2394/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2294/88, 2394/104

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 2294/88,2394/104

Given fractions are 2294/88,2394/104

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 2294,2394

Greatest Common Factor of Numerators i.e. GCF of 2294,2394 is 2 .

LCM of Denominators means LCM of 88,104 as per the given fractions.

LCM of 88,104 is 1144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2294,2394

GCF of Fractions 2294/88,2394/104 is 2/1144

2 2294, 2394
1147, 1197

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

Greatest Common Factor of 2294,2394 By Matching Biggest Common Factor Method

Greatest Common Factor of 2294,2394 By Matching Biggest Common Factor Method

Factors of 2294

List of positive integer factors of 2294 that divides 2294 without a remainder.

1,2,31,37,62,74,1147,2294

Factors of 2394

List of positive integer factors of 2394 that divides 2394 without a remainder.

1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394

Greatest Common Factor

We found the factors 2294,2394 . The biggest common factor number is the GCF number.
So the greatest common factor 2294,2394 is 2.

Lets's calculate LCM of 88,104

2 88, 104
2 44, 52
2 22, 26
11, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 13 = 1144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1144

Therefore, the GCF of Fractions 2294/88,2394/104 is 2/1144

Least Common Multiple of 88,104 with GCF Formula

Least Common Multiple of 88,104 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 88,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,104) = 8

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

GCF(88,104) x common factors =8 x 1 = 8

LCM(88,104) = ( 88 × 104 ) / 8

LCM(88,104) = 9152 / 8

LCM(88,104) = 1144


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2294/88, 2394/104

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 2294/88, 2394/104?

Answer: GCF of Numerators as per given numbers 2294/88, 2394/104 is

GCF of Numerators i.e. for 2294,2394 is 2

LCM of denominators i.e. for 88,104 is 1144.

Thus, GCF of Fractions is 2/1144.Finally, GCF of Fractions for 2294/88, 2394/104 is 2/1144.