Greatest Common Factor of 213/803, 9771/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/803, 9771/163

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 213/803,9771/163

Given fractions are 213/803,9771/163

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 213,9771

Greatest Common Factor of Numerators i.e. GCF of 213,9771 is 3 .

LCM of Denominators means LCM of 803,163 as per the given fractions.

LCM of 803,163 is 130889 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,9771

GCF of Fractions 213/803,9771/163 is 3/130889

3 213, 9771
71, 3257

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

Greatest Common Factor of 213,9771 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,9771 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1,3,3257,9771

Greatest Common Factor

We found the factors 213,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 213,9771 is 3.

Lets's calculate LCM of 803,163

Given numbers has no common factors except 1. So, there LCM is their product i.e 130889

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/130889

Therefore, the GCF of Fractions 213/803,9771/163 is 3/130889

Least Common Multiple of 803,163 with GCF Formula

Least Common Multiple of 803,163 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 803,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,163) = 1

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

GCF(803,163) x common factors =1 x 1 = 1

LCM(803,163) = ( 803 × 163 ) / 1

LCM(803,163) = 130889 / 1

LCM(803,163) = 130889


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 213/803, 9771/163

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 213/803, 9771/163?

Answer: GCF of Numerators as per given numbers 213/803, 9771/163 is

GCF of Numerators i.e. for 213,9771 is 3

LCM of denominators i.e. for 803,163 is 130889.

Thus, GCF of Fractions is 3/130889.Finally, GCF of Fractions for 213/803, 9771/163 is 3/130889.