Greatest Common Factor of 9899/85, 1009/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9899/85, 1009/769

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 9899/85,1009/769

Given fractions are 9899/85,1009/769

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 9899,1009

Greatest Common Factor of Numerators i.e. GCF of 9899,1009 is 1 .

LCM of Denominators means LCM of 85,769 as per the given fractions.

LCM of 85,769 is 65365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9899,1009

GCF of Fractions 9899/85,1009/769 is 1/65365

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

Greatest Common Factor of 9899,1009 By Matching Biggest Common Factor Method

Greatest Common Factor of 9899,1009 By Matching Biggest Common Factor Method

Factors of 9899

List of positive integer factors of 9899 that divides 9899 without a remainder.

1,19,521,9899

Factors of 1009

List of positive integer factors of 1009 that divides 1009 without a remainder.

1,1009

Greatest Common Factor

We found the factors 9899,1009 . The biggest common factor number is the GCF number.
So the greatest common factor 9899,1009 is 1.

Lets's calculate LCM of 85,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 65365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65365

Therefore, the GCF of Fractions 9899/85,1009/769 is 1/65365

Least Common Multiple of 85,769 with GCF Formula

Least Common Multiple of 85,769 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 85,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,769) = 1

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

GCF(85,769) x common factors =1 x 1 = 1

LCM(85,769) = ( 85 × 769 ) / 1

LCM(85,769) = 65365 / 1

LCM(85,769) = 65365


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 9899/85, 1009/769

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 9899/85, 1009/769?

Answer: GCF of Numerators as per given numbers 9899/85, 1009/769 is

GCF of Numerators i.e. for 9899,1009 is 1

LCM of denominators i.e. for 85,769 is 65365.

Thus, GCF of Fractions is 1/65365.Finally, GCF of Fractions for 9899/85, 1009/769 is 1/65365.