Greatest Common Factor of 9705/885, 8564/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9705/885, 8564/485

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 9705/885,8564/485

Given fractions are 9705/885,8564/485

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 9705,8564

Greatest Common Factor of Numerators i.e. GCF of 9705,8564 is 1 .

LCM of Denominators means LCM of 885,485 as per the given fractions.

LCM of 885,485 is 85845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9705,8564

GCF of Fractions 9705/885,8564/485 is 1/85845

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

Greatest Common Factor of 9705,8564 By Matching Biggest Common Factor Method

Greatest Common Factor of 9705,8564 By Matching Biggest Common Factor Method

Factors of 9705

List of positive integer factors of 9705 that divides 9705 without a remainder.

1,3,5,15,647,1941,3235,9705

Factors of 8564

List of positive integer factors of 8564 that divides 8564 without a remainder.

1,2,4,2141,4282,8564

Greatest Common Factor

We found the factors 9705,8564 . The biggest common factor number is the GCF number.
So the greatest common factor 9705,8564 is 1.

Lets's calculate LCM of 885,485

5 885, 485
177, 97

∴ So the LCM of the given numbers is 5 x 177 x 97 = 85845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85845

Therefore, the GCF of Fractions 9705/885,8564/485 is 1/85845

Least Common Multiple of 885,485 with GCF Formula

Least Common Multiple of 885,485 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 885,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,485) = 5

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

GCF(885,485) x common factors =5 x 1 = 5

LCM(885,485) = ( 885 × 485 ) / 5

LCM(885,485) = 429225 / 5

LCM(885,485) = 85845


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 9705/885, 8564/485

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 9705/885, 8564/485?

Answer: GCF of Numerators as per given numbers 9705/885, 8564/485 is

GCF of Numerators i.e. for 9705,8564 is 1

LCM of denominators i.e. for 885,485 is 85845.

Thus, GCF of Fractions is 1/85845.Finally, GCF of Fractions for 9705/885, 8564/485 is 1/85845.