Greatest Common Factor of 9438/631, 6424/5080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9438/631, 6424/5080

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 9438/631,6424/5080

Given fractions are 9438/631,6424/5080

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 9438,6424

Greatest Common Factor of Numerators i.e. GCF of 9438,6424 is 22 .

LCM of Denominators means LCM of 631,5080 as per the given fractions.

LCM of 631,5080 is 3205480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9438,6424

GCF of Fractions 9438/631,6424/5080 is 22/3205480

2 9438, 6424
11 4719, 3212
429, 292

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 9438,6424 By Matching Biggest Common Factor Method

Greatest Common Factor of 9438,6424 By Matching Biggest Common Factor Method

Factors of 9438

List of positive integer factors of 9438 that divides 9438 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424

Greatest Common Factor

We found the factors 9438,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 9438,6424 is 22.

Lets's calculate LCM of 631,5080

Given numbers has no common factors except 1. So, there LCM is their product i.e 3205480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/3205480

Therefore, the GCF of Fractions 9438/631,6424/5080 is 22/3205480

Least Common Multiple of 631,5080 with GCF Formula

Least Common Multiple of 631,5080 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 631,5080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,5080) = 1

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

GCF(631,5080) x common factors =1 x 1 = 1

LCM(631,5080) = ( 631 × 5080 ) / 1

LCM(631,5080) = 3205480 / 1

LCM(631,5080) = 3205480


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 9438/631, 6424/5080

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 9438/631, 6424/5080?

Answer: GCF of Numerators as per given numbers 9438/631, 6424/5080 is

GCF of Numerators i.e. for 9438,6424 is 22

LCM of denominators i.e. for 631,5080 is 3205480.

Thus, GCF of Fractions is 22/3205480.Finally, GCF of Fractions for 9438/631, 6424/5080 is 22/3205480.