Greatest Common Factor of 26/74, 40/16, 478/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 26/74, 40/16, 478/348

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 26/74,40/16,478/348

Given fractions are 26/74,40/16,478/348

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 26,40,478

Greatest Common Factor of Numerators i.e. GCF of 26,40,478 is 2 .

LCM of Denominators means LCM of 74,16,348 as per the given fractions.

LCM of 74,16,348 is 51504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,40,478

GCF of Fractions 26/74,40/16,478/348 is 2/51504

2 26, 40, 478
13, 20, 239

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

Greatest Common Factor of 26,40,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,40,478 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 26,40,478 . The biggest common factor number is the GCF number.
So the greatest common factor 26,40,478 is 2.


Lets's calculate LCM of 74,16,348

2 74, 16, 348
2 37, 8, 174
37, 4, 87

∴ So the LCM of the given numbers is 2 x 2 x 37 x 4 x 87 = 51504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51504

Therefore, the GCF of Fractions 26/74,40/16,478/348 is 2/51504

Least Common Multiple of 74,16,348 with GCF Formula

Least Common Multiple of 74,16,348 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 74,16,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,16,348) = 2

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

GCF(74,16,348) x common factors =2 x 4 = 8

LCM(74,16,348) = ( 74 × 16 × 348 ) / 8

LCM(74,16,348) = 412032 / 8

LCM(74,16,348) = 51504


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 26/74, 40/16, 478/348

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 26/74, 40/16, 478/348?

Answer: GCF of Numerators as per given numbers 26/74, 40/16, 478/348 is

GCF of Numerators i.e. for 26,40,478 is 2

LCM of denominators i.e. for 74,16,348 is 51504.

Thus, GCF of Fractions is 2/51504.Finally, GCF of Fractions for 26/74, 40/16, 478/348 is 2/51504.