Greatest Common Factor of 817/41, 912/7361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 817/41, 912/7361

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 817/41,912/7361

Given fractions are 817/41,912/7361

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 817,912

Greatest Common Factor of Numerators i.e. GCF of 817,912 is 19 .

LCM of Denominators means LCM of 41,7361 as per the given fractions.

LCM of 41,7361 is 301801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 817,912

GCF of Fractions 817/41,912/7361 is 19/301801

19 817, 912
43, 48

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 817,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,912 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 817,912 . The biggest common factor number is the GCF number.
So the greatest common factor 817,912 is 19.

Lets's calculate LCM of 41,7361

Given numbers has no common factors except 1. So, there LCM is their product i.e 301801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/301801

Therefore, the GCF of Fractions 817/41,912/7361 is 19/301801

Least Common Multiple of 41,7361 with GCF Formula

Least Common Multiple of 41,7361 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 41,7361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,7361) = 1

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

GCF(41,7361) x common factors =1 x 1 = 1

LCM(41,7361) = ( 41 × 7361 ) / 1

LCM(41,7361) = 301801 / 1

LCM(41,7361) = 301801


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 817/41, 912/7361

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 817/41, 912/7361?

Answer: GCF of Numerators as per given numbers 817/41, 912/7361 is

GCF of Numerators i.e. for 817,912 is 19

LCM of denominators i.e. for 41,7361 is 301801.

Thus, GCF of Fractions is 19/301801.Finally, GCF of Fractions for 817/41, 912/7361 is 19/301801.