Greatest Common Factor of 5142/823, 9801/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5142/823, 9801/603

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 5142/823,9801/603

Given fractions are 5142/823,9801/603

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 5142,9801

Greatest Common Factor of Numerators i.e. GCF of 5142,9801 is 3 .

LCM of Denominators means LCM of 823,603 as per the given fractions.

LCM of 823,603 is 496269 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5142,9801

GCF of Fractions 5142/823,9801/603 is 3/496269

3 5142, 9801
1714, 3267

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5142,9801 By Matching Biggest Common Factor Method

Greatest Common Factor of 5142,9801 By Matching Biggest Common Factor Method

Factors of 5142

List of positive integer factors of 5142 that divides 5142 without a remainder.

1,2,3,6,857,1714,2571,5142

Factors of 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801

Greatest Common Factor

We found the factors 5142,9801 . The biggest common factor number is the GCF number.
So the greatest common factor 5142,9801 is 3.

Lets's calculate LCM of 823,603

Given numbers has no common factors except 1. So, there LCM is their product i.e 496269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/496269

Therefore, the GCF of Fractions 5142/823,9801/603 is 3/496269

Least Common Multiple of 823,603 with GCF Formula

Least Common Multiple of 823,603 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 823,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,603) = 1

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

GCF(823,603) x common factors =1 x 1 = 1

LCM(823,603) = ( 823 × 603 ) / 1

LCM(823,603) = 496269 / 1

LCM(823,603) = 496269


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 5142/823, 9801/603

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 5142/823, 9801/603?

Answer: GCF of Numerators as per given numbers 5142/823, 9801/603 is

GCF of Numerators i.e. for 5142,9801 is 3

LCM of denominators i.e. for 823,603 is 496269.

Thus, GCF of Fractions is 3/496269.Finally, GCF of Fractions for 5142/823, 9801/603 is 3/496269.