Greatest Common Factor of 4851/61, 8873/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4851/61, 8873/352

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 4851/61,8873/352

Given fractions are 4851/61,8873/352

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 4851,8873

Greatest Common Factor of Numerators i.e. GCF of 4851,8873 is 1 .

LCM of Denominators means LCM of 61,352 as per the given fractions.

LCM of 61,352 is 21472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4851,8873

GCF of Fractions 4851/61,8873/352 is 1/21472

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

Greatest Common Factor of 4851,8873 By Matching Biggest Common Factor Method

Greatest Common Factor of 4851,8873 By Matching Biggest Common Factor Method

Factors of 4851

List of positive integer factors of 4851 that divides 4851 without a remainder.

1,3,7,9,11,21,33,49,63,77,99,147,231,441,539,693,1617,4851

Factors of 8873

List of positive integer factors of 8873 that divides 8873 without a remainder.

1,19,467,8873

Greatest Common Factor

We found the factors 4851,8873 . The biggest common factor number is the GCF number.
So the greatest common factor 4851,8873 is 1.

Lets's calculate LCM of 61,352

Given numbers has no common factors except 1. So, there LCM is their product i.e 21472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21472

Therefore, the GCF of Fractions 4851/61,8873/352 is 1/21472

Least Common Multiple of 61,352 with GCF Formula

Least Common Multiple of 61,352 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 61,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,352) = 1

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

GCF(61,352) x common factors =1 x 1 = 1

LCM(61,352) = ( 61 × 352 ) / 1

LCM(61,352) = 21472 / 1

LCM(61,352) = 21472


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 4851/61, 8873/352

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 4851/61, 8873/352?

Answer: GCF of Numerators as per given numbers 4851/61, 8873/352 is

GCF of Numerators i.e. for 4851,8873 is 1

LCM of denominators i.e. for 61,352 is 21472.

Thus, GCF of Fractions is 1/21472.Finally, GCF of Fractions for 4851/61, 8873/352 is 1/21472.