Greatest Common Factor of 8438/740, 4302/8002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8438/740, 4302/8002

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 8438/740,4302/8002

Given fractions are 8438/740,4302/8002

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 8438,4302

Greatest Common Factor of Numerators i.e. GCF of 8438,4302 is 2 .

LCM of Denominators means LCM of 740,8002 as per the given fractions.

LCM of 740,8002 is 2960740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8438,4302

GCF of Fractions 8438/740,4302/8002 is 2/2960740

2 8438, 4302
4219, 2151

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

Greatest Common Factor of 8438,4302 By Matching Biggest Common Factor Method

Greatest Common Factor of 8438,4302 By Matching Biggest Common Factor Method

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1,2,4219,8438

Factors of 4302

List of positive integer factors of 4302 that divides 4302 without a remainder.

1,2,3,6,9,18,239,478,717,1434,2151,4302

Greatest Common Factor

We found the factors 8438,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 8438,4302 is 2.

Lets's calculate LCM of 740,8002

2 740, 8002
370, 4001

∴ So the LCM of the given numbers is 2 x 370 x 4001 = 2960740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2960740

Therefore, the GCF of Fractions 8438/740,4302/8002 is 2/2960740

Least Common Multiple of 740,8002 with GCF Formula

Least Common Multiple of 740,8002 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 740,8002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,8002) = 2

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

GCF(740,8002) x common factors =2 x 1 = 2

LCM(740,8002) = ( 740 × 8002 ) / 2

LCM(740,8002) = 5921480 / 2

LCM(740,8002) = 2960740


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 8438/740, 4302/8002

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 8438/740, 4302/8002?

Answer: GCF of Numerators as per given numbers 8438/740, 4302/8002 is

GCF of Numerators i.e. for 8438,4302 is 2

LCM of denominators i.e. for 740,8002 is 2960740.

Thus, GCF of Fractions is 2/2960740.Finally, GCF of Fractions for 8438/740, 4302/8002 is 2/2960740.