Greatest Common Factor of 1043/292, 1351/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1043/292, 1351/286

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 1043/292,1351/286

Given fractions are 1043/292,1351/286

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 1043,1351

Greatest Common Factor of Numerators i.e. GCF of 1043,1351 is 7 .

LCM of Denominators means LCM of 292,286 as per the given fractions.

LCM of 292,286 is 41756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1043,1351

GCF of Fractions 1043/292,1351/286 is 7/41756

7 1043, 1351
149, 193

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

Greatest Common Factor of 1043,1351 By Matching Biggest Common Factor Method

Greatest Common Factor of 1043,1351 By Matching Biggest Common Factor Method

Factors of 1043

List of positive integer factors of 1043 that divides 1043 without a remainder.

1,7,149,1043

Factors of 1351

List of positive integer factors of 1351 that divides 1351 without a remainder.

1,7,193,1351

Greatest Common Factor

We found the factors 1043,1351 . The biggest common factor number is the GCF number.
So the greatest common factor 1043,1351 is 7.

Lets's calculate LCM of 292,286

2 292, 286
146, 143

∴ So the LCM of the given numbers is 2 x 146 x 143 = 41756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/41756

Therefore, the GCF of Fractions 1043/292,1351/286 is 7/41756

Least Common Multiple of 292,286 with GCF Formula

Least Common Multiple of 292,286 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 292,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,286) = 2

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

GCF(292,286) x common factors =2 x 1 = 2

LCM(292,286) = ( 292 × 286 ) / 2

LCM(292,286) = 83512 / 2

LCM(292,286) = 41756


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 1043/292, 1351/286

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 1043/292, 1351/286?

Answer: GCF of Numerators as per given numbers 1043/292, 1351/286 is

GCF of Numerators i.e. for 1043,1351 is 7

LCM of denominators i.e. for 292,286 is 41756.

Thus, GCF of Fractions is 7/41756.Finally, GCF of Fractions for 1043/292, 1351/286 is 7/41756.