Greatest Common Factor of 348/13, 252/9997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/13, 252/9997

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 348/13,252/9997

Given fractions are 348/13,252/9997

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 348,252

Greatest Common Factor of Numerators i.e. GCF of 348,252 is 12 .

LCM of Denominators means LCM of 13,9997 as per the given fractions.

LCM of 13,9997 is 9997 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,252

GCF of Fractions 348/13,252/9997 is 12/9997

2 348, 252
2 174, 126
3 87, 63
29, 21

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 348,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,252 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 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 348,252 . The biggest common factor number is the GCF number.
So the greatest common factor 348,252 is 12.

Lets's calculate LCM of 13,9997

13 13, 9997
1, 769

∴ So the LCM of the given numbers is 13 x 1 x 769 = 9997

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/9997

Therefore, the GCF of Fractions 348/13,252/9997 is 12/9997

Least Common Multiple of 13,9997 with GCF Formula

Least Common Multiple of 13,9997 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 13,9997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,9997) = 13

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

GCF(13,9997) x common factors =13 x 1 = 13

LCM(13,9997) = ( 13 × 9997 ) / 13

LCM(13,9997) = 129961 / 13

LCM(13,9997) = 9997


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 348/13, 252/9997

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 348/13, 252/9997?

Answer: GCF of Numerators as per given numbers 348/13, 252/9997 is

GCF of Numerators i.e. for 348,252 is 12

LCM of denominators i.e. for 13,9997 is 9997.

Thus, GCF of Fractions is 12/9997.Finally, GCF of Fractions for 348/13, 252/9997 is 12/9997.