Greatest Common Factor of 9928/441, 1688/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9928/441, 1688/658

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 9928/441,1688/658

Given fractions are 9928/441,1688/658

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 9928,1688

Greatest Common Factor of Numerators i.e. GCF of 9928,1688 is 8 .

LCM of Denominators means LCM of 441,658 as per the given fractions.

LCM of 441,658 is 41454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9928,1688

GCF of Fractions 9928/441,1688/658 is 8/41454

2 9928, 1688
2 4964, 844
2 2482, 422
1241, 211

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

Greatest Common Factor of 9928,1688 By Matching Biggest Common Factor Method

Greatest Common Factor of 9928,1688 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 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1,2,4,8,211,422,844,1688

Greatest Common Factor

We found the factors 9928,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 9928,1688 is 8.

Lets's calculate LCM of 441,658

7 441, 658
63, 94

∴ So the LCM of the given numbers is 7 x 63 x 94 = 41454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/41454

Therefore, the GCF of Fractions 9928/441,1688/658 is 8/41454

Least Common Multiple of 441,658 with GCF Formula

Least Common Multiple of 441,658 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 441,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,658) = 7

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

GCF(441,658) x common factors =7 x 1 = 7

LCM(441,658) = ( 441 × 658 ) / 7

LCM(441,658) = 290178 / 7

LCM(441,658) = 41454


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 9928/441, 1688/658

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 9928/441, 1688/658?

Answer: GCF of Numerators as per given numbers 9928/441, 1688/658 is

GCF of Numerators i.e. for 9928,1688 is 8

LCM of denominators i.e. for 441,658 is 41454.

Thus, GCF of Fractions is 8/41454.Finally, GCF of Fractions for 9928/441, 1688/658 is 8/41454.