Greatest Common Factor of 3958/340, 5638/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3958/340, 5638/503

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 3958/340,5638/503

Given fractions are 3958/340,5638/503

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 3958,5638

Greatest Common Factor of Numerators i.e. GCF of 3958,5638 is 2 .

LCM of Denominators means LCM of 340,503 as per the given fractions.

LCM of 340,503 is 171020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3958,5638

GCF of Fractions 3958/340,5638/503 is 2/171020

2 3958, 5638
1979, 2819

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

Greatest Common Factor of 3958,5638 By Matching Biggest Common Factor Method

Greatest Common Factor of 3958,5638 By Matching Biggest Common Factor Method

Factors of 3958

List of positive integer factors of 3958 that divides 3958 without a remainder.

1,2,1979,3958

Factors of 5638

List of positive integer factors of 5638 that divides 5638 without a remainder.

1,2,2819,5638

Greatest Common Factor

We found the factors 3958,5638 . The biggest common factor number is the GCF number.
So the greatest common factor 3958,5638 is 2.

Lets's calculate LCM of 340,503

Given numbers has no common factors except 1. So, there LCM is their product i.e 171020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171020

Therefore, the GCF of Fractions 3958/340,5638/503 is 2/171020

Least Common Multiple of 340,503 with GCF Formula

Least Common Multiple of 340,503 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 340,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,503) = 1

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

GCF(340,503) x common factors =1 x 1 = 1

LCM(340,503) = ( 340 × 503 ) / 1

LCM(340,503) = 171020 / 1

LCM(340,503) = 171020


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 3958/340, 5638/503

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 3958/340, 5638/503?

Answer: GCF of Numerators as per given numbers 3958/340, 5638/503 is

GCF of Numerators i.e. for 3958,5638 is 2

LCM of denominators i.e. for 340,503 is 171020.

Thus, GCF of Fractions is 2/171020.Finally, GCF of Fractions for 3958/340, 5638/503 is 2/171020.