Greatest Common Factor of 805/865, 638/363, 703/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/865, 638/363, 703/681

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 805/865,638/363,703/681

Given fractions are 805/865,638/363,703/681

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 805,638,703

Greatest Common Factor of Numerators i.e. GCF of 805,638,703 is 1 .

LCM of Denominators means LCM of 865,363,681 as per the given fractions.

LCM of 865,363,681 is 71276865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,638,703

GCF of Fractions 805/865,638/363,703/681 is 1/71276865

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

Greatest Common Factor of 805,638,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,638,703 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 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 805,638,703 . The biggest common factor number is the GCF number.
So the greatest common factor 805,638,703 is 1.

Lets's calculate LCM of 865,363,681

3 865, 363, 681
865, 121, 227

∴ So the LCM of the given numbers is 3 x 865 x 121 x 227 = 71276865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71276865

Therefore, the GCF of Fractions 805/865,638/363,703/681 is 1/71276865

Least Common Multiple of 865,363,681 with GCF Formula

Least Common Multiple of 865,363,681 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 865,363,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,363,681) = 1

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

GCF(865,363,681) x common factors =1 x 3 = 3

LCM(865,363,681) = ( 865 × 363 × 681 ) / 3

LCM(865,363,681) = 213830595 / 3

LCM(865,363,681) = 71276865


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 805/865, 638/363, 703/681

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 805/865, 638/363, 703/681?

Answer: GCF of Numerators as per given numbers 805/865, 638/363, 703/681 is

GCF of Numerators i.e. for 805,638,703 is 1

LCM of denominators i.e. for 865,363,681 is 71276865.

Thus, GCF of Fractions is 1/71276865.Finally, GCF of Fractions for 805/865, 638/363, 703/681 is 1/71276865.