Greatest Common Factor of 95/196, 7486/3691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/196, 7486/3691

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 95/196,7486/3691

Given fractions are 95/196,7486/3691

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 95,7486

Greatest Common Factor of Numerators i.e. GCF of 95,7486 is 19 .

LCM of Denominators means LCM of 196,3691 as per the given fractions.

LCM of 196,3691 is 723436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,7486

GCF of Fractions 95/196,7486/3691 is 19/723436

19 95, 7486
5, 394

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 95,7486 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,7486 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 7486

List of positive integer factors of 7486 that divides 7486 without a remainder.

1,2,19,38,197,394,3743,7486

Greatest Common Factor

We found the factors 95,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 95,7486 is 19.

Lets's calculate LCM of 196,3691

Given numbers has no common factors except 1. So, there LCM is their product i.e 723436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/723436

Therefore, the GCF of Fractions 95/196,7486/3691 is 19/723436

Least Common Multiple of 196,3691 with GCF Formula

Least Common Multiple of 196,3691 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 196,3691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,3691) = 1

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

GCF(196,3691) x common factors =1 x 1 = 1

LCM(196,3691) = ( 196 × 3691 ) / 1

LCM(196,3691) = 723436 / 1

LCM(196,3691) = 723436


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 95/196, 7486/3691

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 95/196, 7486/3691?

Answer: GCF of Numerators as per given numbers 95/196, 7486/3691 is

GCF of Numerators i.e. for 95,7486 is 19

LCM of denominators i.e. for 196,3691 is 723436.

Thus, GCF of Fractions is 19/723436.Finally, GCF of Fractions for 95/196, 7486/3691 is 19/723436.