Greatest Common Factor of 803/362, 2461/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 803/362, 2461/800

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 803/362,2461/800

Given fractions are 803/362,2461/800

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 803,2461

Greatest Common Factor of Numerators i.e. GCF of 803,2461 is 1 .

LCM of Denominators means LCM of 362,800 as per the given fractions.

LCM of 362,800 is 144800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 803,2461

GCF of Fractions 803/362,2461/800 is 1/144800

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

Greatest Common Factor of 803,2461 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,2461 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 2461

List of positive integer factors of 2461 that divides 2461 without a remainder.

1,23,107,2461

Greatest Common Factor

We found the factors 803,2461 . The biggest common factor number is the GCF number.
So the greatest common factor 803,2461 is 1.

Lets's calculate LCM of 362,800

2 362, 800
181, 400

∴ So the LCM of the given numbers is 2 x 181 x 400 = 144800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144800

Therefore, the GCF of Fractions 803/362,2461/800 is 1/144800

Least Common Multiple of 362,800 with GCF Formula

Least Common Multiple of 362,800 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 362,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,800) = 2

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

GCF(362,800) x common factors =2 x 1 = 2

LCM(362,800) = ( 362 × 800 ) / 2

LCM(362,800) = 289600 / 2

LCM(362,800) = 144800


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 803/362, 2461/800

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 803/362, 2461/800?

Answer: GCF of Numerators as per given numbers 803/362, 2461/800 is

GCF of Numerators i.e. for 803,2461 is 1

LCM of denominators i.e. for 362,800 is 144800.

Thus, GCF of Fractions is 1/144800.Finally, GCF of Fractions for 803/362, 2461/800 is 1/144800.