Greatest Common Factor of 68/843, 356/445, 363/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/843, 356/445, 363/858

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 68/843,356/445,363/858

Given fractions are 68/843,356/445,363/858

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 68,356,363

Greatest Common Factor of Numerators i.e. GCF of 68,356,363 is 1 .

LCM of Denominators means LCM of 843,445,858 as per the given fractions.

LCM of 843,445,858 is 107288610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,356,363

GCF of Fractions 68/843,356/445,363/858 is 1/107288610

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

Greatest Common Factor of 68,356,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,356,363 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 68,356,363 . The biggest common factor number is the GCF number.
So the greatest common factor 68,356,363 is 1.

Lets's calculate LCM of 843,445,858

3 843, 445, 858
281, 445, 286

∴ So the LCM of the given numbers is 3 x 281 x 445 x 286 = 107288610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107288610

Therefore, the GCF of Fractions 68/843,356/445,363/858 is 1/107288610

Least Common Multiple of 843,445,858 with GCF Formula

Least Common Multiple of 843,445,858 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 843,445,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,445,858) = 1

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

GCF(843,445,858) x common factors =1 x 3 = 3

LCM(843,445,858) = ( 843 × 445 × 858 ) / 3

LCM(843,445,858) = 321865830 / 3

LCM(843,445,858) = 107288610


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 68/843, 356/445, 363/858

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 68/843, 356/445, 363/858?

Answer: GCF of Numerators as per given numbers 68/843, 356/445, 363/858 is

GCF of Numerators i.e. for 68,356,363 is 1

LCM of denominators i.e. for 843,445,858 is 107288610.

Thus, GCF of Fractions is 1/107288610.Finally, GCF of Fractions for 68/843, 356/445, 363/858 is 1/107288610.