How to Find GCF of 4887/116, 8479/812?

GCF of 4887/116, 8479/812

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 4887/116, 8479/812 i.e 1/812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4887/116, 8479/812.

Enter two or more fractions separated by "commas"

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

What is the GCF of 4887/116,8479/812?

Given fractions are 4887/116,8479/812

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 4887/116,8479/812, numerators are 4887,8479

Denominators are 116,812

The GCF of 4887,8479 is 1 .

LCM of 116,812 is 812.

The greatest common factor of 4887/116,8479/812 = [GCF of 4887,8479]/[LCM of 116,812]= 1/812

Therefore, the GCF of 4887/116,8479/812 is 1/812.

Greatest Common Factor of 4887,8479

To find the highest common factor of 4887,8479, we have to find the factors of both numbers and list the highest common factor.

The factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887

The factors of 8479 are 1, 61, 139, 8479

The HCF of 4887,8479 is 1.

Lets's calculate GCF of 4887,8479

Greatest Common Factor (GCF) of 4887,8479 By Common Division

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

Greatest Common Factor of 4887,8479 By Matching Biggest Common Factor Method

Now, list down the factors of 4887

1,3,9,27,181,543,1629,4887

Now, list down the factors of 8479

1,61,139,8479

Greatest Common Factor

We found the factors 4887,8479 . The biggest common factor number is the GCF number.
So the greatest common factor 4887,8479 is 1.

Lets's calculate LCM of 116,812

Lowest Common Multiple of 116,812 using Common Division

2	116, 812
2	58, 406
29	29, 203
	1, 7

∴ So the LCM of the given numbers is 2 x 2 x 29 x 1 x 7 = 812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/812

Therefore, the GCF of Fractions 4887/116,8479/812 is 1/812

Least Common Multiple of 116,812 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 116,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,812) = 116

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

GCF(116,812) x common factors =116 x 1 = 116

LCM(116,812) = ( 116 × 812 ) / 116

LCM(116,812) = 94192 / 116

LCM(116,812) = 812

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FAQs on GCF of Fractions of 4887/116, 8479/812

1. What is the HCF of 4887,8479?

The HCF of 4887,8479 is 1

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 4887/116, 8479/812?

Answer: GCF of Numerators as per given numbers 4887/116, 8479/812 is

GCF of Numerators i.e. for 4887,8479 is 1

LCM of denominators i.e. for 116,812 is 812.

Thus, GCF of Fractions is 1/812.Finally, GCF of Fractions for 4887/116, 8479/812 is 1/812.