Greatest Common Factor of 147/43, 220/5299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 147/43, 220/5299

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 147/43,220/5299

Given fractions are 147/43,220/5299

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 147,220

Greatest Common Factor of Numerators i.e. GCF of 147,220 is 1 .

LCM of Denominators means LCM of 43,5299 as per the given fractions.

LCM of 43,5299 is 227857 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 147,220

GCF of Fractions 147/43,220/5299 is 1/227857

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

Greatest Common Factor of 147,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,220 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 147,220 . The biggest common factor number is the GCF number.
So the greatest common factor 147,220 is 1.

Lets's calculate LCM of 43,5299

Given numbers has no common factors except 1. So, there LCM is their product i.e 227857

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227857

Therefore, the GCF of Fractions 147/43,220/5299 is 1/227857

Least Common Multiple of 43,5299 with GCF Formula

Least Common Multiple of 43,5299 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 43,5299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,5299) = 1

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

GCF(43,5299) x common factors =1 x 1 = 1

LCM(43,5299) = ( 43 × 5299 ) / 1

LCM(43,5299) = 227857 / 1

LCM(43,5299) = 227857


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 147/43, 220/5299

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 147/43, 220/5299?

Answer: GCF of Numerators as per given numbers 147/43, 220/5299 is

GCF of Numerators i.e. for 147,220 is 1

LCM of denominators i.e. for 43,5299 is 227857.

Thus, GCF of Fractions is 1/227857.Finally, GCF of Fractions for 147/43, 220/5299 is 1/227857.