Greatest Common Factor of 348/52, 404/26, 628/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/52, 404/26, 628/214

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 348/52,404/26,628/214

Given fractions are 348/52,404/26,628/214

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 348,404,628

Greatest Common Factor of Numerators i.e. GCF of 348,404,628 is 4 .

LCM of Denominators means LCM of 52,26,214 as per the given fractions.

LCM of 52,26,214 is 5564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,404,628

GCF of Fractions 348/52,404/26,628/214 is 4/5564

2 348, 404, 628
2 174, 202, 314
87, 101, 157

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 348,404,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,404,628 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 348,404,628 . The biggest common factor number is the GCF number.
So the greatest common factor 348,404,628 is 4.

Lets's calculate LCM of 52,26,214

2 52, 26, 214
13 26, 13, 107
2, 1, 107

∴ So the LCM of the given numbers is 2 x 13 x 2 x 1 x 107 = 5564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5564

Therefore, the GCF of Fractions 348/52,404/26,628/214 is 4/5564

Least Common Multiple of 52,26,214 with GCF Formula

Least Common Multiple of 52,26,214 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 52,26,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,26,214) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(52,26,214) x common factors =2 x 26 = 52

LCM(52,26,214) = ( 52 × 26 × 214 ) / 52

LCM(52,26,214) = 289328 / 52

LCM(52,26,214) = 5564


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 348/52, 404/26, 628/214

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 348/52, 404/26, 628/214?

Answer: GCF of Numerators as per given numbers 348/52, 404/26, 628/214 is

GCF of Numerators i.e. for 348,404,628 is 4

LCM of denominators i.e. for 52,26,214 is 5564.

Thus, GCF of Fractions is 4/5564.Finally, GCF of Fractions for 348/52, 404/26, 628/214 is 4/5564.