Greatest Common Factor of 286/746, 1056/8729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/746, 1056/8729

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 286/746,1056/8729

Given fractions are 286/746,1056/8729

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 286,1056

Greatest Common Factor of Numerators i.e. GCF of 286,1056 is 22 .

LCM of Denominators means LCM of 746,8729 as per the given fractions.

LCM of 746,8729 is 6511834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,1056

GCF of Fractions 286/746,1056/8729 is 22/6511834

2 286, 1056
11 143, 528
13, 48

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 286,1056 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,1056 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056

Greatest Common Factor

We found the factors 286,1056 . The biggest common factor number is the GCF number.
So the greatest common factor 286,1056 is 22.

Lets's calculate LCM of 746,8729

Given numbers has no common factors except 1. So, there LCM is their product i.e 6511834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/6511834

Therefore, the GCF of Fractions 286/746,1056/8729 is 22/6511834

Least Common Multiple of 746,8729 with GCF Formula

Least Common Multiple of 746,8729 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 746,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,8729) = 1

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

GCF(746,8729) x common factors =1 x 1 = 1

LCM(746,8729) = ( 746 × 8729 ) / 1

LCM(746,8729) = 6511834 / 1

LCM(746,8729) = 6511834


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 286/746, 1056/8729

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 286/746, 1056/8729?

Answer: GCF of Numerators as per given numbers 286/746, 1056/8729 is

GCF of Numerators i.e. for 286,1056 is 22

LCM of denominators i.e. for 746,8729 is 6511834.

Thus, GCF of Fractions is 22/6511834.Finally, GCF of Fractions for 286/746, 1056/8729 is 22/6511834.