Greatest Common Factor of 8844/44, 9655/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8844/44, 9655/254

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 8844/44,9655/254

Given fractions are 8844/44,9655/254

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 8844,9655

Greatest Common Factor of Numerators i.e. GCF of 8844,9655 is 1 .

LCM of Denominators means LCM of 44,254 as per the given fractions.

LCM of 44,254 is 5588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8844,9655

GCF of Fractions 8844/44,9655/254 is 1/5588

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

Greatest Common Factor of 8844,9655 By Matching Biggest Common Factor Method

Greatest Common Factor of 8844,9655 By Matching Biggest Common Factor Method

Factors of 8844

List of positive integer factors of 8844 that divides 8844 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,67,132,134,201,268,402,737,804,1474,2211,2948,4422,8844

Factors of 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1,5,1931,9655

Greatest Common Factor

We found the factors 8844,9655 . The biggest common factor number is the GCF number.
So the greatest common factor 8844,9655 is 1.

Lets's calculate LCM of 44,254

2 44, 254
22, 127

∴ So the LCM of the given numbers is 2 x 22 x 127 = 5588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5588

Therefore, the GCF of Fractions 8844/44,9655/254 is 1/5588

Least Common Multiple of 44,254 with GCF Formula

Least Common Multiple of 44,254 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 44,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,254) = 2

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

GCF(44,254) x common factors =2 x 1 = 2

LCM(44,254) = ( 44 × 254 ) / 2

LCM(44,254) = 11176 / 2

LCM(44,254) = 5588


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 8844/44, 9655/254

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 8844/44, 9655/254?

Answer: GCF of Numerators as per given numbers 8844/44, 9655/254 is

GCF of Numerators i.e. for 8844,9655 is 1

LCM of denominators i.e. for 44,254 is 5588.

Thus, GCF of Fractions is 1/5588.Finally, GCF of Fractions for 8844/44, 9655/254 is 1/5588.