Greatest Common Factor of 348/853, 7581/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/853, 7581/194

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 348/853,7581/194

Given fractions are 348/853,7581/194

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 348,7581

Greatest Common Factor of Numerators i.e. GCF of 348,7581 is 3 .

LCM of Denominators means LCM of 853,194 as per the given fractions.

LCM of 853,194 is 165482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,7581

GCF of Fractions 348/853,7581/194 is 3/165482

3 348, 7581
116, 2527

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 348,7581 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,7581 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 7581

List of positive integer factors of 7581 that divides 7581 without a remainder.

1,3,7,19,21,57,133,361,399,1083,2527,7581

Greatest Common Factor

We found the factors 348,7581 . The biggest common factor number is the GCF number.
So the greatest common factor 348,7581 is 3.

Lets's calculate LCM of 853,194

Given numbers has no common factors except 1. So, there LCM is their product i.e 165482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/165482

Therefore, the GCF of Fractions 348/853,7581/194 is 3/165482

Least Common Multiple of 853,194 with GCF Formula

Least Common Multiple of 853,194 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 853,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,194) = 1

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

GCF(853,194) x common factors =1 x 1 = 1

LCM(853,194) = ( 853 × 194 ) / 1

LCM(853,194) = 165482 / 1

LCM(853,194) = 165482


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 348/853, 7581/194

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 348/853, 7581/194?

Answer: GCF of Numerators as per given numbers 348/853, 7581/194 is

GCF of Numerators i.e. for 348,7581 is 3

LCM of denominators i.e. for 853,194 is 165482.

Thus, GCF of Fractions is 3/165482.Finally, GCF of Fractions for 348/853, 7581/194 is 3/165482.