Greatest Common Factor of 805/34, 767/57, 556/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/34, 767/57, 556/104

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 805/34,767/57,556/104

Given fractions are 805/34,767/57,556/104

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 805,767,556

Greatest Common Factor of Numerators i.e. GCF of 805,767,556 is 1 .

LCM of Denominators means LCM of 34,57,104 as per the given fractions.

LCM of 34,57,104 is 100776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,767,556

GCF of Fractions 805/34,767/57,556/104 is 1/100776

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

Greatest Common Factor of 805,767,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,767,556 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 805,767,556 . The biggest common factor number is the GCF number.
So the greatest common factor 805,767,556 is 1.

Lets's calculate LCM of 34,57,104

2 34, 57, 104
17, 57, 52

∴ So the LCM of the given numbers is 2 x 17 x 57 x 52 = 100776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100776

Therefore, the GCF of Fractions 805/34,767/57,556/104 is 1/100776

Least Common Multiple of 34,57,104 with GCF Formula

Least Common Multiple of 34,57,104 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 34,57,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,57,104) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,57,104) x common factors =1 x 2 = 2

LCM(34,57,104) = ( 34 × 57 × 104 ) / 2

LCM(34,57,104) = 201552 / 2

LCM(34,57,104) = 100776


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 805/34, 767/57, 556/104

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 805/34, 767/57, 556/104?

Answer: GCF of Numerators as per given numbers 805/34, 767/57, 556/104 is

GCF of Numerators i.e. for 805,767,556 is 1

LCM of denominators i.e. for 34,57,104 is 100776.

Thus, GCF of Fractions is 1/100776.Finally, GCF of Fractions for 805/34, 767/57, 556/104 is 1/100776.