Greatest Common Factor of 3907/319, 1508/2649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3907/319, 1508/2649

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 3907/319,1508/2649

Given fractions are 3907/319,1508/2649

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 3907,1508

Greatest Common Factor of Numerators i.e. GCF of 3907,1508 is 1 .

LCM of Denominators means LCM of 319,2649 as per the given fractions.

LCM of 319,2649 is 845031 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3907,1508

GCF of Fractions 3907/319,1508/2649 is 1/845031

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

Greatest Common Factor of 3907,1508 By Matching Biggest Common Factor Method

Greatest Common Factor of 3907,1508 By Matching Biggest Common Factor Method

Factors of 3907

List of positive integer factors of 3907 that divides 3907 without a remainder.

1,3907

Factors of 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1,2,4,13,26,29,52,58,116,377,754,1508

Greatest Common Factor

We found the factors 3907,1508 . The biggest common factor number is the GCF number.
So the greatest common factor 3907,1508 is 1.

Lets's calculate LCM of 319,2649

Given numbers has no common factors except 1. So, there LCM is their product i.e 845031

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/845031

Therefore, the GCF of Fractions 3907/319,1508/2649 is 1/845031

Least Common Multiple of 319,2649 with GCF Formula

Least Common Multiple of 319,2649 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 319,2649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,2649) = 1

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

GCF(319,2649) x common factors =1 x 1 = 1

LCM(319,2649) = ( 319 × 2649 ) / 1

LCM(319,2649) = 845031 / 1

LCM(319,2649) = 845031


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 3907/319, 1508/2649

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 3907/319, 1508/2649?

Answer: GCF of Numerators as per given numbers 3907/319, 1508/2649 is

GCF of Numerators i.e. for 3907,1508 is 1

LCM of denominators i.e. for 319,2649 is 845031.

Thus, GCF of Fractions is 1/845031.Finally, GCF of Fractions for 3907/319, 1508/2649 is 1/845031.