Greatest Common Factor of 989/515, 805/130, 805/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 989/515, 805/130, 805/401

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 989/515,805/130,805/401

Given fractions are 989/515,805/130,805/401

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 989,805,805

Greatest Common Factor of Numerators i.e. GCF of 989,805,805 is 23 .

LCM of Denominators means LCM of 515,130,401 as per the given fractions.

LCM of 515,130,401 is 5369390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 989,805,805

GCF of Fractions 989/515,805/130,805/401 is 23/5369390

23 989, 805, 805
43, 35, 35

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 989,805,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,805,805 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 989,805,805 . The biggest common factor number is the GCF number.
So the greatest common factor 989,805,805 is 23.

Lets's calculate LCM of 515,130,401

5 515, 130, 401
103, 26, 401

∴ So the LCM of the given numbers is 5 x 103 x 26 x 401 = 5369390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/5369390

Therefore, the GCF of Fractions 989/515,805/130,805/401 is 23/5369390

Least Common Multiple of 515,130,401 with GCF Formula

Least Common Multiple of 515,130,401 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 515,130,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,130,401) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(515,130,401) x common factors =1 x 5 = 5

LCM(515,130,401) = ( 515 × 130 × 401 ) / 5

LCM(515,130,401) = 26846950 / 5

LCM(515,130,401) = 5369390


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 989/515, 805/130, 805/401

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 989/515, 805/130, 805/401?

Answer: GCF of Numerators as per given numbers 989/515, 805/130, 805/401 is

GCF of Numerators i.e. for 989,805,805 is 23

LCM of denominators i.e. for 515,130,401 is 5369390.

Thus, GCF of Fractions is 23/5369390.Finally, GCF of Fractions for 989/515, 805/130, 805/401 is 23/5369390.