Greatest Common Factor of 9419/240, 8313/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9419/240, 8313/869

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 9419/240,8313/869

Given fractions are 9419/240,8313/869

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 9419,8313

Greatest Common Factor of Numerators i.e. GCF of 9419,8313 is 1 .

LCM of Denominators means LCM of 240,869 as per the given fractions.

LCM of 240,869 is 208560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9419,8313

GCF of Fractions 9419/240,8313/869 is 1/208560

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

Greatest Common Factor of 9419,8313 By Matching Biggest Common Factor Method

Greatest Common Factor of 9419,8313 By Matching Biggest Common Factor Method

Factors of 9419

List of positive integer factors of 9419 that divides 9419 without a remainder.

1,9419

Factors of 8313

List of positive integer factors of 8313 that divides 8313 without a remainder.

1,3,17,51,163,489,2771,8313

Greatest Common Factor

We found the factors 9419,8313 . The biggest common factor number is the GCF number.
So the greatest common factor 9419,8313 is 1.

Lets's calculate LCM of 240,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 208560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208560

Therefore, the GCF of Fractions 9419/240,8313/869 is 1/208560

Least Common Multiple of 240,869 with GCF Formula

Least Common Multiple of 240,869 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 240,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,869) = 1

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

GCF(240,869) x common factors =1 x 1 = 1

LCM(240,869) = ( 240 × 869 ) / 1

LCM(240,869) = 208560 / 1

LCM(240,869) = 208560


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 9419/240, 8313/869

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 9419/240, 8313/869?

Answer: GCF of Numerators as per given numbers 9419/240, 8313/869 is

GCF of Numerators i.e. for 9419,8313 is 1

LCM of denominators i.e. for 240,869 is 208560.

Thus, GCF of Fractions is 1/208560.Finally, GCF of Fractions for 9419/240, 8313/869 is 1/208560.