Greatest Common Factor of 9687/295, 4942/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9687/295, 4942/578

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 9687/295,4942/578

Given fractions are 9687/295,4942/578

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 9687,4942

Greatest Common Factor of Numerators i.e. GCF of 9687,4942 is 1 .

LCM of Denominators means LCM of 295,578 as per the given fractions.

LCM of 295,578 is 170510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9687,4942

GCF of Fractions 9687/295,4942/578 is 1/170510

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9687,4942 By Matching Biggest Common Factor Method

Greatest Common Factor of 9687,4942 By Matching Biggest Common Factor Method

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

Factors of 4942

List of positive integer factors of 4942 that divides 4942 without a remainder.

1,2,7,14,353,706,2471,4942

Greatest Common Factor

We found the factors 9687,4942 . The biggest common factor number is the GCF number.
So the greatest common factor 9687,4942 is 1.

Lets's calculate LCM of 295,578

Given numbers has no common factors except 1. So, there LCM is their product i.e 170510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170510

Therefore, the GCF of Fractions 9687/295,4942/578 is 1/170510

Least Common Multiple of 295,578 with GCF Formula

Least Common Multiple of 295,578 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 295,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,578) = 1

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

GCF(295,578) x common factors =1 x 1 = 1

LCM(295,578) = ( 295 × 578 ) / 1

LCM(295,578) = 170510 / 1

LCM(295,578) = 170510


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 9687/295, 4942/578

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 9687/295, 4942/578?

Answer: GCF of Numerators as per given numbers 9687/295, 4942/578 is

GCF of Numerators i.e. for 9687,4942 is 1

LCM of denominators i.e. for 295,578 is 170510.

Thus, GCF of Fractions is 1/170510.Finally, GCF of Fractions for 9687/295, 4942/578 is 1/170510.