Greatest Common Factor of 9571/166, 5066/5005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9571/166, 5066/5005

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 9571/166,5066/5005

Given fractions are 9571/166,5066/5005

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 9571,5066

Greatest Common Factor of Numerators i.e. GCF of 9571,5066 is 17 .

LCM of Denominators means LCM of 166,5005 as per the given fractions.

LCM of 166,5005 is 830830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9571,5066

GCF of Fractions 9571/166,5066/5005 is 17/830830

17 9571, 5066
563, 298

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 9571,5066 By Matching Biggest Common Factor Method

Greatest Common Factor of 9571,5066 By Matching Biggest Common Factor Method

Factors of 9571

List of positive integer factors of 9571 that divides 9571 without a remainder.

1,17,563,9571

Factors of 5066

List of positive integer factors of 5066 that divides 5066 without a remainder.

1,2,17,34,149,298,2533,5066

Greatest Common Factor

We found the factors 9571,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 9571,5066 is 17.

Lets's calculate LCM of 166,5005

Given numbers has no common factors except 1. So, there LCM is their product i.e 830830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/830830

Therefore, the GCF of Fractions 9571/166,5066/5005 is 17/830830

Least Common Multiple of 166,5005 with GCF Formula

Least Common Multiple of 166,5005 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 166,5005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,5005) = 1

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

GCF(166,5005) x common factors =1 x 1 = 1

LCM(166,5005) = ( 166 × 5005 ) / 1

LCM(166,5005) = 830830 / 1

LCM(166,5005) = 830830


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 9571/166, 5066/5005

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 9571/166, 5066/5005?

Answer: GCF of Numerators as per given numbers 9571/166, 5066/5005 is

GCF of Numerators i.e. for 9571,5066 is 17

LCM of denominators i.e. for 166,5005 is 830830.

Thus, GCF of Fractions is 17/830830.Finally, GCF of Fractions for 9571/166, 5066/5005 is 17/830830.