Greatest Common Factor of 1059/412, 8801/5318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1059/412, 8801/5318

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 1059/412,8801/5318

Given fractions are 1059/412,8801/5318

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 1059,8801

Greatest Common Factor of Numerators i.e. GCF of 1059,8801 is 1 .

LCM of Denominators means LCM of 412,5318 as per the given fractions.

LCM of 412,5318 is 1095508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1059,8801

GCF of Fractions 1059/412,8801/5318 is 1/1095508

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

Greatest Common Factor of 1059,8801 By Matching Biggest Common Factor Method

Greatest Common Factor of 1059,8801 By Matching Biggest Common Factor Method

Factors of 1059

List of positive integer factors of 1059 that divides 1059 without a remainder.

1,3,353,1059

Factors of 8801

List of positive integer factors of 8801 that divides 8801 without a remainder.

1,13,677,8801

Greatest Common Factor

We found the factors 1059,8801 . The biggest common factor number is the GCF number.
So the greatest common factor 1059,8801 is 1.

Lets's calculate LCM of 412,5318

2 412, 5318
206, 2659

∴ So the LCM of the given numbers is 2 x 206 x 2659 = 1095508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1095508

Therefore, the GCF of Fractions 1059/412,8801/5318 is 1/1095508

Least Common Multiple of 412,5318 with GCF Formula

Least Common Multiple of 412,5318 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 412,5318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,5318) = 2

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

GCF(412,5318) x common factors =2 x 1 = 2

LCM(412,5318) = ( 412 × 5318 ) / 2

LCM(412,5318) = 2191016 / 2

LCM(412,5318) = 1095508


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 1059/412, 8801/5318

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 1059/412, 8801/5318?

Answer: GCF of Numerators as per given numbers 1059/412, 8801/5318 is

GCF of Numerators i.e. for 1059,8801 is 1

LCM of denominators i.e. for 412,5318 is 1095508.

Thus, GCF of Fractions is 1/1095508.Finally, GCF of Fractions for 1059/412, 8801/5318 is 1/1095508.