Greatest Common Factor of 5830/225, 5066/9106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5830/225, 5066/9106

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 5830/225,5066/9106

Given fractions are 5830/225,5066/9106

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 5830,5066

Greatest Common Factor of Numerators i.e. GCF of 5830,5066 is 2 .

LCM of Denominators means LCM of 225,9106 as per the given fractions.

LCM of 225,9106 is 2048850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5830,5066

GCF of Fractions 5830/225,5066/9106 is 2/2048850

2 5830, 5066
2915, 2533

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5830,5066 By Matching Biggest Common Factor Method

Greatest Common Factor of 5830,5066 By Matching Biggest Common Factor Method

Factors of 5830

List of positive integer factors of 5830 that divides 5830 without a remainder.

1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830

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 5830,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 5830,5066 is 2.

Lets's calculate LCM of 225,9106

Given numbers has no common factors except 1. So, there LCM is their product i.e 2048850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2048850

Therefore, the GCF of Fractions 5830/225,5066/9106 is 2/2048850

Least Common Multiple of 225,9106 with GCF Formula

Least Common Multiple of 225,9106 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 225,9106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,9106) = 1

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

GCF(225,9106) x common factors =1 x 1 = 1

LCM(225,9106) = ( 225 × 9106 ) / 1

LCM(225,9106) = 2048850 / 1

LCM(225,9106) = 2048850


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 5830/225, 5066/9106

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 5830/225, 5066/9106?

Answer: GCF of Numerators as per given numbers 5830/225, 5066/9106 is

GCF of Numerators i.e. for 5830,5066 is 2

LCM of denominators i.e. for 225,9106 is 2048850.

Thus, GCF of Fractions is 2/2048850.Finally, GCF of Fractions for 5830/225, 5066/9106 is 2/2048850.