Greatest Common Factor of 9426/14, 5104/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9426/14, 5104/662

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 9426/14,5104/662

Given fractions are 9426/14,5104/662

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 9426,5104

Greatest Common Factor of Numerators i.e. GCF of 9426,5104 is 2 .

LCM of Denominators means LCM of 14,662 as per the given fractions.

LCM of 14,662 is 4634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9426,5104

GCF of Fractions 9426/14,5104/662 is 2/4634

2 9426, 5104
4713, 2552

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

Greatest Common Factor of 9426,5104 By Matching Biggest Common Factor Method

Greatest Common Factor of 9426,5104 By Matching Biggest Common Factor Method

Factors of 9426

List of positive integer factors of 9426 that divides 9426 without a remainder.

1,2,3,6,1571,3142,4713,9426

Factors of 5104

List of positive integer factors of 5104 that divides 5104 without a remainder.

1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104

Greatest Common Factor

We found the factors 9426,5104 . The biggest common factor number is the GCF number.
So the greatest common factor 9426,5104 is 2.

Lets's calculate LCM of 14,662

2 14, 662
7, 331

∴ So the LCM of the given numbers is 2 x 7 x 331 = 4634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4634

Therefore, the GCF of Fractions 9426/14,5104/662 is 2/4634

Least Common Multiple of 14,662 with GCF Formula

Least Common Multiple of 14,662 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 14,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,662) = 2

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

GCF(14,662) x common factors =2 x 1 = 2

LCM(14,662) = ( 14 × 662 ) / 2

LCM(14,662) = 9268 / 2

LCM(14,662) = 4634


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 9426/14, 5104/662

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 9426/14, 5104/662?

Answer: GCF of Numerators as per given numbers 9426/14, 5104/662 is

GCF of Numerators i.e. for 9426,5104 is 2

LCM of denominators i.e. for 14,662 is 4634.

Thus, GCF of Fractions is 2/4634.Finally, GCF of Fractions for 9426/14, 5104/662 is 2/4634.