Greatest Common Factor of 348/67, 116/3863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/67, 116/3863

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 348/67,116/3863

Given fractions are 348/67,116/3863

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 348,116

Greatest Common Factor of Numerators i.e. GCF of 348,116 is 116 .

LCM of Denominators means LCM of 67,3863 as per the given fractions.

LCM of 67,3863 is 258821 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,116

GCF of Fractions 348/67,116/3863 is 116/258821

2 348, 116
2 174, 58
29 87, 29
3, 1

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Greatest Common Factor of 348,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,116 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 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 348,116 . The biggest common factor number is the GCF number.
So the greatest common factor 348,116 is 116.

Lets's calculate LCM of 67,3863

Given numbers has no common factors except 1. So, there LCM is their product i.e 258821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/258821

Therefore, the GCF of Fractions 348/67,116/3863 is 116/258821

Least Common Multiple of 67,3863 with GCF Formula

Least Common Multiple of 67,3863 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 67,3863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,3863) = 1

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

GCF(67,3863) x common factors =1 x 1 = 1

LCM(67,3863) = ( 67 × 3863 ) / 1

LCM(67,3863) = 258821 / 1

LCM(67,3863) = 258821


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 348/67, 116/3863

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 348/67, 116/3863?

Answer: GCF of Numerators as per given numbers 348/67, 116/3863 is

GCF of Numerators i.e. for 348,116 is 116

LCM of denominators i.e. for 67,3863 is 258821.

Thus, GCF of Fractions is 116/258821.Finally, GCF of Fractions for 348/67, 116/3863 is 116/258821.