Greatest Common Factor of 3403/422, 8658/3848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3403/422, 8658/3848

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 3403/422,8658/3848

Given fractions are 3403/422,8658/3848

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 3403,8658

Greatest Common Factor of Numerators i.e. GCF of 3403,8658 is 1 .

LCM of Denominators means LCM of 422,3848 as per the given fractions.

LCM of 422,3848 is 811928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3403,8658

GCF of Fractions 3403/422,8658/3848 is 1/811928

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3403,8658 By Matching Biggest Common Factor Method

Greatest Common Factor of 3403,8658 By Matching Biggest Common Factor Method

Factors of 3403

List of positive integer factors of 3403 that divides 3403 without a remainder.

1,41,83,3403

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658

Greatest Common Factor

We found the factors 3403,8658 . The biggest common factor number is the GCF number.
So the greatest common factor 3403,8658 is 1.

Lets's calculate LCM of 422,3848

2 422, 3848
211, 1924

∴ So the LCM of the given numbers is 2 x 211 x 1924 = 811928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/811928

Therefore, the GCF of Fractions 3403/422,8658/3848 is 1/811928

Least Common Multiple of 422,3848 with GCF Formula

Least Common Multiple of 422,3848 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 422,3848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,3848) = 2

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

GCF(422,3848) x common factors =2 x 1 = 2

LCM(422,3848) = ( 422 × 3848 ) / 2

LCM(422,3848) = 1623856 / 2

LCM(422,3848) = 811928


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 3403/422, 8658/3848

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 3403/422, 8658/3848?

Answer: GCF of Numerators as per given numbers 3403/422, 8658/3848 is

GCF of Numerators i.e. for 3403,8658 is 1

LCM of denominators i.e. for 422,3848 is 811928.

Thus, GCF of Fractions is 1/811928.Finally, GCF of Fractions for 3403/422, 8658/3848 is 1/811928.