Greatest Common Factor of 1263/841, 9909/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1263/841, 9909/185

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 1263/841,9909/185

Given fractions are 1263/841,9909/185

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 1263,9909

Greatest Common Factor of Numerators i.e. GCF of 1263,9909 is 3 .

LCM of Denominators means LCM of 841,185 as per the given fractions.

LCM of 841,185 is 155585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1263,9909

GCF of Fractions 1263/841,9909/185 is 3/155585

3 1263, 9909
421, 3303

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

Greatest Common Factor of 1263,9909 By Matching Biggest Common Factor Method

Greatest Common Factor of 1263,9909 By Matching Biggest Common Factor Method

Factors of 1263

List of positive integer factors of 1263 that divides 1263 without a remainder.

1,3,421,1263

Factors of 9909

List of positive integer factors of 9909 that divides 9909 without a remainder.

1,3,9,27,367,1101,3303,9909

Greatest Common Factor

We found the factors 1263,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 1263,9909 is 3.

Lets's calculate LCM of 841,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 155585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/155585

Therefore, the GCF of Fractions 1263/841,9909/185 is 3/155585

Least Common Multiple of 841,185 with GCF Formula

Least Common Multiple of 841,185 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 841,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,185) = 1

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

GCF(841,185) x common factors =1 x 1 = 1

LCM(841,185) = ( 841 × 185 ) / 1

LCM(841,185) = 155585 / 1

LCM(841,185) = 155585


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 1263/841, 9909/185

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 1263/841, 9909/185?

Answer: GCF of Numerators as per given numbers 1263/841, 9909/185 is

GCF of Numerators i.e. for 1263,9909 is 3

LCM of denominators i.e. for 841,185 is 155585.

Thus, GCF of Fractions is 3/155585.Finally, GCF of Fractions for 1263/841, 9909/185 is 3/155585.