Greatest Common Factor of 802/80, 749/5745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 802/80, 749/5745

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 802/80,749/5745

Given fractions are 802/80,749/5745

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 802,749

Greatest Common Factor of Numerators i.e. GCF of 802,749 is 1 .

LCM of Denominators means LCM of 80,5745 as per the given fractions.

LCM of 80,5745 is 91920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 802,749

GCF of Fractions 802/80,749/5745 is 1/91920

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

Greatest Common Factor of 802,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,749 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 802,749 . The biggest common factor number is the GCF number.
So the greatest common factor 802,749 is 1.

Lets's calculate LCM of 80,5745

5 80, 5745
16, 1149

∴ So the LCM of the given numbers is 5 x 16 x 1149 = 91920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91920

Therefore, the GCF of Fractions 802/80,749/5745 is 1/91920

Least Common Multiple of 80,5745 with GCF Formula

Least Common Multiple of 80,5745 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 80,5745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,5745) = 5

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

GCF(80,5745) x common factors =5 x 1 = 5

LCM(80,5745) = ( 80 × 5745 ) / 5

LCM(80,5745) = 459600 / 5

LCM(80,5745) = 91920


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 802/80, 749/5745

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 802/80, 749/5745?

Answer: GCF of Numerators as per given numbers 802/80, 749/5745 is

GCF of Numerators i.e. for 802,749 is 1

LCM of denominators i.e. for 80,5745 is 91920.

Thus, GCF of Fractions is 1/91920.Finally, GCF of Fractions for 802/80, 749/5745 is 1/91920.