Greatest Common Factor of 3408/402, 5080/8642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3408/402, 5080/8642

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 3408/402,5080/8642

Given fractions are 3408/402,5080/8642

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 3408,5080

Greatest Common Factor of Numerators i.e. GCF of 3408,5080 is 8 .

LCM of Denominators means LCM of 402,8642 as per the given fractions.

LCM of 402,8642 is 1737042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3408,5080

GCF of Fractions 3408/402,5080/8642 is 8/1737042

2 3408, 5080
2 1704, 2540
2 852, 1270
426, 635

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

Greatest Common Factor of 3408,5080 By Matching Biggest Common Factor Method

Greatest Common Factor of 3408,5080 By Matching Biggest Common Factor Method

Factors of 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408

Factors of 5080

List of positive integer factors of 5080 that divides 5080 without a remainder.

1,2,4,5,8,10,20,40,127,254,508,635,1016,1270,2540,5080

Greatest Common Factor

We found the factors 3408,5080 . The biggest common factor number is the GCF number.
So the greatest common factor 3408,5080 is 8.

Lets's calculate LCM of 402,8642

2 402, 8642
201, 4321

∴ So the LCM of the given numbers is 2 x 201 x 4321 = 1737042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1737042

Therefore, the GCF of Fractions 3408/402,5080/8642 is 8/1737042

Least Common Multiple of 402,8642 with GCF Formula

Least Common Multiple of 402,8642 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 402,8642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,8642) = 2

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

GCF(402,8642) x common factors =2 x 1 = 2

LCM(402,8642) = ( 402 × 8642 ) / 2

LCM(402,8642) = 3474084 / 2

LCM(402,8642) = 1737042


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 3408/402, 5080/8642

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 3408/402, 5080/8642?

Answer: GCF of Numerators as per given numbers 3408/402, 5080/8642 is

GCF of Numerators i.e. for 3408,5080 is 8

LCM of denominators i.e. for 402,8642 is 1737042.

Thus, GCF of Fractions is 8/1737042.Finally, GCF of Fractions for 3408/402, 5080/8642 is 8/1737042.