Greatest Common Factor of 7966/703, 5887/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7966/703, 5887/298

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 7966/703,5887/298

Given fractions are 7966/703,5887/298

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 7966,5887

Greatest Common Factor of Numerators i.e. GCF of 7966,5887 is 7 .

LCM of Denominators means LCM of 703,298 as per the given fractions.

LCM of 703,298 is 209494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7966,5887

GCF of Fractions 7966/703,5887/298 is 7/209494

7 7966, 5887
1138, 841

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7966,5887 By Matching Biggest Common Factor Method

Greatest Common Factor of 7966,5887 By Matching Biggest Common Factor Method

Factors of 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1,2,7,14,569,1138,3983,7966

Factors of 5887

List of positive integer factors of 5887 that divides 5887 without a remainder.

1,7,29,203,841,5887

Greatest Common Factor

We found the factors 7966,5887 . The biggest common factor number is the GCF number.
So the greatest common factor 7966,5887 is 7.

Lets's calculate LCM of 703,298

Given numbers has no common factors except 1. So, there LCM is their product i.e 209494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/209494

Therefore, the GCF of Fractions 7966/703,5887/298 is 7/209494

Least Common Multiple of 703,298 with GCF Formula

Least Common Multiple of 703,298 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 703,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,298) = 1

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

GCF(703,298) x common factors =1 x 1 = 1

LCM(703,298) = ( 703 × 298 ) / 1

LCM(703,298) = 209494 / 1

LCM(703,298) = 209494


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 7966/703, 5887/298

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 7966/703, 5887/298?

Answer: GCF of Numerators as per given numbers 7966/703, 5887/298 is

GCF of Numerators i.e. for 7966,5887 is 7

LCM of denominators i.e. for 703,298 is 209494.

Thus, GCF of Fractions is 7/209494.Finally, GCF of Fractions for 7966/703, 5887/298 is 7/209494.