Greatest Common Factor of 9352/106, 6629/4862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9352/106, 6629/4862

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 9352/106,6629/4862

Given fractions are 9352/106,6629/4862

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 9352,6629

Greatest Common Factor of Numerators i.e. GCF of 9352,6629 is 7 .

LCM of Denominators means LCM of 106,4862 as per the given fractions.

LCM of 106,4862 is 257686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9352,6629

GCF of Fractions 9352/106,6629/4862 is 7/257686

7 9352, 6629
1336, 947

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9352,6629 By Matching Biggest Common Factor Method

Greatest Common Factor of 9352,6629 By Matching Biggest Common Factor Method

Factors of 9352

List of positive integer factors of 9352 that divides 9352 without a remainder.

1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352

Factors of 6629

List of positive integer factors of 6629 that divides 6629 without a remainder.

1,7,947,6629

Greatest Common Factor

We found the factors 9352,6629 . The biggest common factor number is the GCF number.
So the greatest common factor 9352,6629 is 7.

Lets's calculate LCM of 106,4862

2 106, 4862
53, 2431

∴ So the LCM of the given numbers is 2 x 53 x 2431 = 257686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/257686

Therefore, the GCF of Fractions 9352/106,6629/4862 is 7/257686

Least Common Multiple of 106,4862 with GCF Formula

Least Common Multiple of 106,4862 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 106,4862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,4862) = 2

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

GCF(106,4862) x common factors =2 x 1 = 2

LCM(106,4862) = ( 106 × 4862 ) / 2

LCM(106,4862) = 515372 / 2

LCM(106,4862) = 257686


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 9352/106, 6629/4862

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 9352/106, 6629/4862?

Answer: GCF of Numerators as per given numbers 9352/106, 6629/4862 is

GCF of Numerators i.e. for 9352,6629 is 7

LCM of denominators i.e. for 106,4862 is 257686.

Thus, GCF of Fractions is 7/257686.Finally, GCF of Fractions for 9352/106, 6629/4862 is 7/257686.