Greatest Common Factor of 9626/896, 8554/4055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9626/896, 8554/4055

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 9626/896,8554/4055

Given fractions are 9626/896,8554/4055

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 9626,8554

Greatest Common Factor of Numerators i.e. GCF of 9626,8554 is 2 .

LCM of Denominators means LCM of 896,4055 as per the given fractions.

LCM of 896,4055 is 3633280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9626,8554

GCF of Fractions 9626/896,8554/4055 is 2/3633280

2 9626, 8554
4813, 4277

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9626,8554 By Matching Biggest Common Factor Method

Greatest Common Factor of 9626,8554 By Matching Biggest Common Factor Method

Factors of 9626

List of positive integer factors of 9626 that divides 9626 without a remainder.

1,2,4813,9626

Factors of 8554

List of positive integer factors of 8554 that divides 8554 without a remainder.

1,2,7,13,14,26,47,91,94,182,329,611,658,1222,4277,8554

Greatest Common Factor

We found the factors 9626,8554 . The biggest common factor number is the GCF number.
So the greatest common factor 9626,8554 is 2.

Lets's calculate LCM of 896,4055

Given numbers has no common factors except 1. So, there LCM is their product i.e 3633280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3633280

Therefore, the GCF of Fractions 9626/896,8554/4055 is 2/3633280

Least Common Multiple of 896,4055 with GCF Formula

Least Common Multiple of 896,4055 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 896,4055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,4055) = 1

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

GCF(896,4055) x common factors =1 x 1 = 1

LCM(896,4055) = ( 896 × 4055 ) / 1

LCM(896,4055) = 3633280 / 1

LCM(896,4055) = 3633280


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 9626/896, 8554/4055

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 9626/896, 8554/4055?

Answer: GCF of Numerators as per given numbers 9626/896, 8554/4055 is

GCF of Numerators i.e. for 9626,8554 is 2

LCM of denominators i.e. for 896,4055 is 3633280.

Thus, GCF of Fractions is 2/3633280.Finally, GCF of Fractions for 9626/896, 8554/4055 is 2/3633280.