Greatest Common Factor of 3982/425, 1754/3347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3982/425, 1754/3347

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 3982/425,1754/3347

Given fractions are 3982/425,1754/3347

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 3982,1754

Greatest Common Factor of Numerators i.e. GCF of 3982,1754 is 2 .

LCM of Denominators means LCM of 425,3347 as per the given fractions.

LCM of 425,3347 is 1422475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3982,1754

GCF of Fractions 3982/425,1754/3347 is 2/1422475

2 3982, 1754
1991, 877

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

Greatest Common Factor of 3982,1754 By Matching Biggest Common Factor Method

Greatest Common Factor of 3982,1754 By Matching Biggest Common Factor Method

Factors of 3982

List of positive integer factors of 3982 that divides 3982 without a remainder.

1,2,11,22,181,362,1991,3982

Factors of 1754

List of positive integer factors of 1754 that divides 1754 without a remainder.

1,2,877,1754

Greatest Common Factor

We found the factors 3982,1754 . The biggest common factor number is the GCF number.
So the greatest common factor 3982,1754 is 2.

Lets's calculate LCM of 425,3347

Given numbers has no common factors except 1. So, there LCM is their product i.e 1422475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1422475

Therefore, the GCF of Fractions 3982/425,1754/3347 is 2/1422475

Least Common Multiple of 425,3347 with GCF Formula

Least Common Multiple of 425,3347 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 425,3347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,3347) = 1

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

GCF(425,3347) x common factors =1 x 1 = 1

LCM(425,3347) = ( 425 × 3347 ) / 1

LCM(425,3347) = 1422475 / 1

LCM(425,3347) = 1422475


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 3982/425, 1754/3347

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 3982/425, 1754/3347?

Answer: GCF of Numerators as per given numbers 3982/425, 1754/3347 is

GCF of Numerators i.e. for 3982,1754 is 2

LCM of denominators i.e. for 425,3347 is 1422475.

Thus, GCF of Fractions is 2/1422475.Finally, GCF of Fractions for 3982/425, 1754/3347 is 2/1422475.