Greatest Common Factor of 805/80, 371/2998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/80, 371/2998

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 805/80,371/2998

Given fractions are 805/80,371/2998

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 805,371

Greatest Common Factor of Numerators i.e. GCF of 805,371 is 7 .

LCM of Denominators means LCM of 80,2998 as per the given fractions.

LCM of 80,2998 is 119920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,371

GCF of Fractions 805/80,371/2998 is 7/119920

7 805, 371
115, 53

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 805,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,371 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 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 805,371 . The biggest common factor number is the GCF number.
So the greatest common factor 805,371 is 7.

Lets's calculate LCM of 80,2998

2 80, 2998
40, 1499

∴ So the LCM of the given numbers is 2 x 40 x 1499 = 119920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/119920

Therefore, the GCF of Fractions 805/80,371/2998 is 7/119920

Least Common Multiple of 80,2998 with GCF Formula

Least Common Multiple of 80,2998 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 80,2998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,2998) = 2

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

GCF(80,2998) x common factors =2 x 1 = 2

LCM(80,2998) = ( 80 × 2998 ) / 2

LCM(80,2998) = 239840 / 2

LCM(80,2998) = 119920


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 805/80, 371/2998

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 805/80, 371/2998?

Answer: GCF of Numerators as per given numbers 805/80, 371/2998 is

GCF of Numerators i.e. for 805,371 is 7

LCM of denominators i.e. for 80,2998 is 119920.

Thus, GCF of Fractions is 7/119920.Finally, GCF of Fractions for 805/80, 371/2998 is 7/119920.