Greatest Common Factor of 9928/468, 6128/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9928/468, 6128/995

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 9928/468,6128/995

Given fractions are 9928/468,6128/995

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 9928,6128

Greatest Common Factor of Numerators i.e. GCF of 9928,6128 is 8 .

LCM of Denominators means LCM of 468,995 as per the given fractions.

LCM of 468,995 is 465660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9928,6128

GCF of Fractions 9928/468,6128/995 is 8/465660

2 9928, 6128
2 4964, 3064
2 2482, 1532
1241, 766

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9928,6128 By Matching Biggest Common Factor Method

Greatest Common Factor of 9928,6128 By Matching Biggest Common Factor Method

Factors of 9928

List of positive integer factors of 9928 that divides 9928 without a remainder.

1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928

Factors of 6128

List of positive integer factors of 6128 that divides 6128 without a remainder.

1,2,4,8,16,383,766,1532,3064,6128

Greatest Common Factor

We found the factors 9928,6128 . The biggest common factor number is the GCF number.
So the greatest common factor 9928,6128 is 8.

Lets's calculate LCM of 468,995

Given numbers has no common factors except 1. So, there LCM is their product i.e 465660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/465660

Therefore, the GCF of Fractions 9928/468,6128/995 is 8/465660

Least Common Multiple of 468,995 with GCF Formula

Least Common Multiple of 468,995 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 468,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,995) = 1

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

GCF(468,995) x common factors =1 x 1 = 1

LCM(468,995) = ( 468 × 995 ) / 1

LCM(468,995) = 465660 / 1

LCM(468,995) = 465660


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 9928/468, 6128/995

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 9928/468, 6128/995?

Answer: GCF of Numerators as per given numbers 9928/468, 6128/995 is

GCF of Numerators i.e. for 9928,6128 is 8

LCM of denominators i.e. for 468,995 is 465660.

Thus, GCF of Fractions is 8/465660.Finally, GCF of Fractions for 9928/468, 6128/995 is 8/465660.