Greatest Common Factor of 9862/41, 5065/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9862/41, 5065/749

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 9862/41,5065/749

Given fractions are 9862/41,5065/749

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 9862,5065

Greatest Common Factor of Numerators i.e. GCF of 9862,5065 is 1 .

LCM of Denominators means LCM of 41,749 as per the given fractions.

LCM of 41,749 is 30709 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9862,5065

GCF of Fractions 9862/41,5065/749 is 1/30709

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

Greatest Common Factor of 9862,5065 By Matching Biggest Common Factor Method

Greatest Common Factor of 9862,5065 By Matching Biggest Common Factor Method

Factors of 9862

List of positive integer factors of 9862 that divides 9862 without a remainder.

1,2,4931,9862

Factors of 5065

List of positive integer factors of 5065 that divides 5065 without a remainder.

1,5,1013,5065

Greatest Common Factor

We found the factors 9862,5065 . The biggest common factor number is the GCF number.
So the greatest common factor 9862,5065 is 1.

Lets's calculate LCM of 41,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 30709

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30709

Therefore, the GCF of Fractions 9862/41,5065/749 is 1/30709

Least Common Multiple of 41,749 with GCF Formula

Least Common Multiple of 41,749 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 41,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,749) = 1

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

GCF(41,749) x common factors =1 x 1 = 1

LCM(41,749) = ( 41 × 749 ) / 1

LCM(41,749) = 30709 / 1

LCM(41,749) = 30709


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 9862/41, 5065/749

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 9862/41, 5065/749?

Answer: GCF of Numerators as per given numbers 9862/41, 5065/749 is

GCF of Numerators i.e. for 9862,5065 is 1

LCM of denominators i.e. for 41,749 is 30709.

Thus, GCF of Fractions is 1/30709.Finally, GCF of Fractions for 9862/41, 5065/749 is 1/30709.