Greatest Common Factor of 8535/843, 1805/4295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8535/843, 1805/4295

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 8535/843,1805/4295

Given fractions are 8535/843,1805/4295

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 8535,1805

Greatest Common Factor of Numerators i.e. GCF of 8535,1805 is 5 .

LCM of Denominators means LCM of 843,4295 as per the given fractions.

LCM of 843,4295 is 3620685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8535,1805

GCF of Fractions 8535/843,1805/4295 is 5/3620685

5 8535, 1805
1707, 361

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8535,1805 By Matching Biggest Common Factor Method

Greatest Common Factor of 8535,1805 By Matching Biggest Common Factor Method

Factors of 8535

List of positive integer factors of 8535 that divides 8535 without a remainder.

1,3,5,15,569,1707,2845,8535

Factors of 1805

List of positive integer factors of 1805 that divides 1805 without a remainder.

1,5,19,95,361,1805

Greatest Common Factor

We found the factors 8535,1805 . The biggest common factor number is the GCF number.
So the greatest common factor 8535,1805 is 5.

Lets's calculate LCM of 843,4295

Given numbers has no common factors except 1. So, there LCM is their product i.e 3620685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3620685

Therefore, the GCF of Fractions 8535/843,1805/4295 is 5/3620685

Least Common Multiple of 843,4295 with GCF Formula

Least Common Multiple of 843,4295 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 843,4295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,4295) = 1

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

GCF(843,4295) x common factors =1 x 1 = 1

LCM(843,4295) = ( 843 × 4295 ) / 1

LCM(843,4295) = 3620685 / 1

LCM(843,4295) = 3620685


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 8535/843, 1805/4295

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 8535/843, 1805/4295?

Answer: GCF of Numerators as per given numbers 8535/843, 1805/4295 is

GCF of Numerators i.e. for 8535,1805 is 5

LCM of denominators i.e. for 843,4295 is 3620685.

Thus, GCF of Fractions is 5/3620685.Finally, GCF of Fractions for 8535/843, 1805/4295 is 5/3620685.