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GCF of 8851/289, 1113/764

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8851/289, 1113/764 i.e 53/220796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8851/289, 1113/764.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8851/289,1113/764?

Given fractions are 8851/289,1113/764

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8851/289,1113/764, numerators are 8851,1113

Denominators are 289,764

The GCF of 8851,1113 is 53 .

LCM of 289,764 is 220796.

The greatest common factor of 8851/289,1113/764 = [GCF of 8851,1113]/[LCM of 289,764]= 53/220796

Therefore, the GCF of 8851/289,1113/764 is 53/220796.

Greatest Common Factor of 8851,1113

To find the highest common factor of 8851,1113, we have to find the factors of both numbers and list the highest common factor.

The factors of 8851 are 1, 53, 167, 8851

The factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113

The HCF of 8851,1113 is 53.

Lets's calculate GCF of 8851,1113

Greatest Common Factor (GCF) of 8851,1113 By Common Division

53 8851, 1113
167, 21

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 8851,1113 By Matching Biggest Common Factor Method

Greatest Common Factor of 8851,1113 By Matching Biggest Common Factor Method

Now, list down the factors of 8851

:

1,53,167,8851

Now, list down the factors of 1113

:

1,3,7,21,53,159,371,1113

Greatest Common Factor

We found the factors 8851,1113 . The biggest common factor number is the GCF number.
So the greatest common factor 8851,1113 is 53.

Lets's calculate LCM of 289,764

Lowest Common Multiple of 289,764 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 220796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/220796

Therefore, the GCF of Fractions 8851/289,1113/764 is 53/220796

Least Common Multiple of 289,764 with GCF Formula

Least Common Multiple of 289,764 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 289,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,764) = 1

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

GCF(289,764) x common factors =1 x 1 = 1

LCM(289,764) = ( 289 × 764 ) / 1

LCM(289,764) = 220796 / 1

LCM(289,764) = 220796


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8851/289, 1113/764

1. What is the HCF of 8851,1113?

The HCF of 8851,1113 is 53

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 8851/289, 1113/764?

Answer: GCF of Numerators as per given numbers 8851/289, 1113/764 is

GCF of Numerators i.e. for 8851,1113 is 53

LCM of denominators i.e. for 289,764 is 220796.

Thus, GCF of Fractions is 53/220796.Finally, GCF of Fractions for 8851/289, 1113/764 is 53/220796.