Greatest Common Factor of 26/28, 18/48, 659/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/28, 18/48, 659/398

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 26/28,18/48,659/398

Given fractions are 26/28,18/48,659/398

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 26,18,659

Greatest Common Factor of Numerators i.e. GCF of 26,18,659 is 1 .

LCM of Denominators means LCM of 28,48,398 as per the given fractions.

LCM of 28,48,398 is 66864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,18,659

GCF of Fractions 26/28,18/48,659/398 is 1/66864

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

Greatest Common Factor of 26,18,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,18,659 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 26,18,659 . The biggest common factor number is the GCF number.
So the greatest common factor 26,18,659 is 1.

Lets's calculate LCM of 28,48,398

2 28, 48, 398
2 14, 24, 199
7, 12, 199

∴ So the LCM of the given numbers is 2 x 2 x 7 x 12 x 199 = 66864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66864

Therefore, the GCF of Fractions 26/28,18/48,659/398 is 1/66864

Least Common Multiple of 28,48,398 with GCF Formula

Least Common Multiple of 28,48,398 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 28,48,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,48,398) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(28,48,398) x common factors =2 x 4 = 8

LCM(28,48,398) = ( 28 × 48 × 398 ) / 8

LCM(28,48,398) = 534912 / 8

LCM(28,48,398) = 66864


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 26/28, 18/48, 659/398

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 26/28, 18/48, 659/398?

Answer: GCF of Numerators as per given numbers 26/28, 18/48, 659/398 is

GCF of Numerators i.e. for 26,18,659 is 1

LCM of denominators i.e. for 28,48,398 is 66864.

Thus, GCF of Fractions is 1/66864.Finally, GCF of Fractions for 26/28, 18/48, 659/398 is 1/66864.