Greatest Common Factor of 902/345, 6237/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 902/345, 6237/263

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 902/345,6237/263

Given fractions are 902/345,6237/263

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 902,6237

Greatest Common Factor of Numerators i.e. GCF of 902,6237 is 11 .

LCM of Denominators means LCM of 345,263 as per the given fractions.

LCM of 345,263 is 90735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 902,6237

GCF of Fractions 902/345,6237/263 is 11/90735

11 902, 6237
82, 567

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 902,6237 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,6237 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 6237

List of positive integer factors of 6237 that divides 6237 without a remainder.

1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237

Greatest Common Factor

We found the factors 902,6237 . The biggest common factor number is the GCF number.
So the greatest common factor 902,6237 is 11.

Lets's calculate LCM of 345,263

Given numbers has no common factors except 1. So, there LCM is their product i.e 90735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/90735

Therefore, the GCF of Fractions 902/345,6237/263 is 11/90735

Least Common Multiple of 345,263 with GCF Formula

Least Common Multiple of 345,263 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 345,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,263) = 1

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

GCF(345,263) x common factors =1 x 1 = 1

LCM(345,263) = ( 345 × 263 ) / 1

LCM(345,263) = 90735 / 1

LCM(345,263) = 90735


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 902/345, 6237/263

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 902/345, 6237/263?

Answer: GCF of Numerators as per given numbers 902/345, 6237/263 is

GCF of Numerators i.e. for 902,6237 is 11

LCM of denominators i.e. for 345,263 is 90735.

Thus, GCF of Fractions is 11/90735.Finally, GCF of Fractions for 902/345, 6237/263 is 11/90735.