Greatest Common Factor of 8772/444, 9781/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8772/444, 9781/830

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 8772/444,9781/830

Given fractions are 8772/444,9781/830

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 8772,9781

Greatest Common Factor of Numerators i.e. GCF of 8772,9781 is 1 .

LCM of Denominators means LCM of 444,830 as per the given fractions.

LCM of 444,830 is 184260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8772,9781

GCF of Fractions 8772/444,9781/830 is 1/184260

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

Greatest Common Factor of 8772,9781 By Matching Biggest Common Factor Method

Greatest Common Factor of 8772,9781 By Matching Biggest Common Factor Method

Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772

Factors of 9781

List of positive integer factors of 9781 that divides 9781 without a remainder.

1,9781

Greatest Common Factor

We found the factors 8772,9781 . The biggest common factor number is the GCF number.
So the greatest common factor 8772,9781 is 1.

Lets's calculate LCM of 444,830

2 444, 830
222, 415

∴ So the LCM of the given numbers is 2 x 222 x 415 = 184260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184260

Therefore, the GCF of Fractions 8772/444,9781/830 is 1/184260

Least Common Multiple of 444,830 with GCF Formula

Least Common Multiple of 444,830 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 444,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,830) = 2

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

GCF(444,830) x common factors =2 x 1 = 2

LCM(444,830) = ( 444 × 830 ) / 2

LCM(444,830) = 368520 / 2

LCM(444,830) = 184260


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 8772/444, 9781/830

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 8772/444, 9781/830?

Answer: GCF of Numerators as per given numbers 8772/444, 9781/830 is

GCF of Numerators i.e. for 8772,9781 is 1

LCM of denominators i.e. for 444,830 is 184260.

Thus, GCF of Fractions is 1/184260.Finally, GCF of Fractions for 8772/444, 9781/830 is 1/184260.