Greatest Common Factor of 359/814, 7821/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 359/814, 7821/296

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 359/814,7821/296

Given fractions are 359/814,7821/296

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 359,7821

Greatest Common Factor of Numerators i.e. GCF of 359,7821 is 1 .

LCM of Denominators means LCM of 814,296 as per the given fractions.

LCM of 814,296 is 3256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 359,7821

GCF of Fractions 359/814,7821/296 is 1/3256

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

Greatest Common Factor of 359,7821 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,7821 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors 359,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 359,7821 is 1.

Lets's calculate LCM of 814,296

2 814, 296
37 407, 148
11, 4

∴ So the LCM of the given numbers is 2 x 37 x 11 x 4 = 3256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3256

Therefore, the GCF of Fractions 359/814,7821/296 is 1/3256

Least Common Multiple of 814,296 with GCF Formula

Least Common Multiple of 814,296 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 814,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,296) = 74

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

GCF(814,296) x common factors =74 x 1 = 74

LCM(814,296) = ( 814 × 296 ) / 74

LCM(814,296) = 240944 / 74

LCM(814,296) = 3256


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 359/814, 7821/296

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 359/814, 7821/296?

Answer: GCF of Numerators as per given numbers 359/814, 7821/296 is

GCF of Numerators i.e. for 359,7821 is 1

LCM of denominators i.e. for 814,296 is 3256.

Thus, GCF of Fractions is 1/3256.Finally, GCF of Fractions for 359/814, 7821/296 is 1/3256.