Greatest Common Factor of 807/52, 788/19, 944/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/52, 788/19, 944/582

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 807/52,788/19,944/582

Given fractions are 807/52,788/19,944/582

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 807,788,944

Greatest Common Factor of Numerators i.e. GCF of 807,788,944 is 1 .

LCM of Denominators means LCM of 52,19,582 as per the given fractions.

LCM of 52,19,582 is 287508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,788,944

GCF of Fractions 807/52,788/19,944/582 is 1/287508

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

Greatest Common Factor of 807,788,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,788,944 By Matching Biggest Common Factor Method

Factors of 807

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

1,3,269,807

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 807,788,944 . The biggest common factor number is the GCF number.
So the greatest common factor 807,788,944 is 1.

Lets's calculate LCM of 52,19,582

2 52, 19, 582
26, 19, 291

∴ So the LCM of the given numbers is 2 x 26 x 19 x 291 = 287508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287508

Therefore, the GCF of Fractions 807/52,788/19,944/582 is 1/287508

Least Common Multiple of 52,19,582 with GCF Formula

Least Common Multiple of 52,19,582 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 52,19,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,19,582) = 1

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

GCF(52,19,582) x common factors =1 x 2 = 2

LCM(52,19,582) = ( 52 × 19 × 582 ) / 2

LCM(52,19,582) = 575016 / 2

LCM(52,19,582) = 287508


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 807/52, 788/19, 944/582

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 807/52, 788/19, 944/582?

Answer: GCF of Numerators as per given numbers 807/52, 788/19, 944/582 is

GCF of Numerators i.e. for 807,788,944 is 1

LCM of denominators i.e. for 52,19,582 is 287508.

Thus, GCF of Fractions is 1/287508.Finally, GCF of Fractions for 807/52, 788/19, 944/582 is 1/287508.