Greatest Common Factor of 848/41, 807/45, 300/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 848/41, 807/45, 300/57

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 848/41,807/45,300/57

Given fractions are 848/41,807/45,300/57

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 848,807,300

Greatest Common Factor of Numerators i.e. GCF of 848,807,300 is 1 .

LCM of Denominators means LCM of 41,45,57 as per the given fractions.

LCM of 41,45,57 is 35055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 848,807,300

GCF of Fractions 848/41,807/45,300/57 is 1/35055

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 848,807,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,807,300 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 848,807,300 . The biggest common factor number is the GCF number.
So the greatest common factor 848,807,300 is 1.

Lets's calculate LCM of 41,45,57

3 41, 45, 57
41, 15, 19

∴ So the LCM of the given numbers is 3 x 41 x 15 x 19 = 35055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35055

Therefore, the GCF of Fractions 848/41,807/45,300/57 is 1/35055

Least Common Multiple of 41,45,57 with GCF Formula

Least Common Multiple of 41,45,57 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 41,45,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,45,57) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,45,57) x common factors =1 x 3 = 3

LCM(41,45,57) = ( 41 × 45 × 57 ) / 3

LCM(41,45,57) = 105165 / 3

LCM(41,45,57) = 35055


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 848/41, 807/45, 300/57

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 848/41, 807/45, 300/57?

Answer: GCF of Numerators as per given numbers 848/41, 807/45, 300/57 is

GCF of Numerators i.e. for 848,807,300 is 1

LCM of denominators i.e. for 41,45,57 is 35055.

Thus, GCF of Fractions is 1/35055.Finally, GCF of Fractions for 848/41, 807/45, 300/57 is 1/35055.