Greatest Common Factor of 9414/71, 9907/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9414/71, 9907/864

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 9414/71,9907/864

Given fractions are 9414/71,9907/864

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 9414,9907

Greatest Common Factor of Numerators i.e. GCF of 9414,9907 is 1 .

LCM of Denominators means LCM of 71,864 as per the given fractions.

LCM of 71,864 is 61344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9414,9907

GCF of Fractions 9414/71,9907/864 is 1/61344

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

Greatest Common Factor of 9414,9907 By Matching Biggest Common Factor Method

Greatest Common Factor of 9414,9907 By Matching Biggest Common Factor Method

Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1,2,3,6,9,18,523,1046,1569,3138,4707,9414

Factors of 9907

List of positive integer factors of 9907 that divides 9907 without a remainder.

1,9907

Greatest Common Factor

We found the factors 9414,9907 . The biggest common factor number is the GCF number.
So the greatest common factor 9414,9907 is 1.

Lets's calculate LCM of 71,864

Given numbers has no common factors except 1. So, there LCM is their product i.e 61344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61344

Therefore, the GCF of Fractions 9414/71,9907/864 is 1/61344

Least Common Multiple of 71,864 with GCF Formula

Least Common Multiple of 71,864 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 71,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,864) = 1

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

GCF(71,864) x common factors =1 x 1 = 1

LCM(71,864) = ( 71 × 864 ) / 1

LCM(71,864) = 61344 / 1

LCM(71,864) = 61344


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 9414/71, 9907/864

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 9414/71, 9907/864?

Answer: GCF of Numerators as per given numbers 9414/71, 9907/864 is

GCF of Numerators i.e. for 9414,9907 is 1

LCM of denominators i.e. for 71,864 is 61344.

Thus, GCF of Fractions is 1/61344.Finally, GCF of Fractions for 9414/71, 9907/864 is 1/61344.