Greatest Common Factor of 1033/268, 7944/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1033/268, 7944/529

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 1033/268,7944/529

Given fractions are 1033/268,7944/529

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 1033,7944

Greatest Common Factor of Numerators i.e. GCF of 1033,7944 is 1 .

LCM of Denominators means LCM of 268,529 as per the given fractions.

LCM of 268,529 is 141772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1033,7944

GCF of Fractions 1033/268,7944/529 is 1/141772

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

Greatest Common Factor of 1033,7944 By Matching Biggest Common Factor Method

Greatest Common Factor of 1033,7944 By Matching Biggest Common Factor Method

Factors of 1033

List of positive integer factors of 1033 that divides 1033 without a remainder.

1,1033

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

Greatest Common Factor

We found the factors 1033,7944 . The biggest common factor number is the GCF number.
So the greatest common factor 1033,7944 is 1.

Lets's calculate LCM of 268,529

Given numbers has no common factors except 1. So, there LCM is their product i.e 141772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141772

Therefore, the GCF of Fractions 1033/268,7944/529 is 1/141772

Least Common Multiple of 268,529 with GCF Formula

Least Common Multiple of 268,529 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 268,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,529) = 1

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

GCF(268,529) x common factors =1 x 1 = 1

LCM(268,529) = ( 268 × 529 ) / 1

LCM(268,529) = 141772 / 1

LCM(268,529) = 141772


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 1033/268, 7944/529

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 1033/268, 7944/529?

Answer: GCF of Numerators as per given numbers 1033/268, 7944/529 is

GCF of Numerators i.e. for 1033,7944 is 1

LCM of denominators i.e. for 268,529 is 141772.

Thus, GCF of Fractions is 1/141772.Finally, GCF of Fractions for 1033/268, 7944/529 is 1/141772.