Greatest Common Factor of 3997/497, 2863/1013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3997/497, 2863/1013

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 3997/497,2863/1013

Given fractions are 3997/497,2863/1013

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 3997,2863

Greatest Common Factor of Numerators i.e. GCF of 3997,2863 is 7 .

LCM of Denominators means LCM of 497,1013 as per the given fractions.

LCM of 497,1013 is 503461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3997,2863

GCF of Fractions 3997/497,2863/1013 is 7/503461

7 3997, 2863
571, 409

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3997,2863 By Matching Biggest Common Factor Method

Greatest Common Factor of 3997,2863 By Matching Biggest Common Factor Method

Factors of 3997

List of positive integer factors of 3997 that divides 3997 without a remainder.

1,7,571,3997

Factors of 2863

List of positive integer factors of 2863 that divides 2863 without a remainder.

1,7,409,2863

Greatest Common Factor

We found the factors 3997,2863 . The biggest common factor number is the GCF number.
So the greatest common factor 3997,2863 is 7.

Lets's calculate LCM of 497,1013

Given numbers has no common factors except 1. So, there LCM is their product i.e 503461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/503461

Therefore, the GCF of Fractions 3997/497,2863/1013 is 7/503461

Least Common Multiple of 497,1013 with GCF Formula

Least Common Multiple of 497,1013 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 497,1013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,1013) = 1

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

GCF(497,1013) x common factors =1 x 1 = 1

LCM(497,1013) = ( 497 × 1013 ) / 1

LCM(497,1013) = 503461 / 1

LCM(497,1013) = 503461


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 3997/497, 2863/1013

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 3997/497, 2863/1013?

Answer: GCF of Numerators as per given numbers 3997/497, 2863/1013 is

GCF of Numerators i.e. for 3997,2863 is 7

LCM of denominators i.e. for 497,1013 is 503461.

Thus, GCF of Fractions is 7/503461.Finally, GCF of Fractions for 3997/497, 2863/1013 is 7/503461.