How to Find GCF of 8089/493, 4153/1220?

GCF of 8089/493, 4153/1220

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8089/493, 4153/1220 i.e 1/601460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8089/493, 4153/1220.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8089/493,4153/1220?

Given fractions are 8089/493,4153/1220

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8089/493,4153/1220, numerators are 8089,4153

Denominators are 493,1220

The GCF of 8089,4153 is 1 .

LCM of 493,1220 is 601460.

The greatest common factor of 8089/493,4153/1220 = [GCF of 8089,4153]/[LCM of 493,1220]= 1/601460

Therefore, the GCF of 8089/493,4153/1220 is 1/601460.

Greatest Common Factor of 8089,4153

To find the highest common factor of 8089,4153, we have to find the factors of both numbers and list the highest common factor.

The factors of 8089 are 1, 8089

The factors of 4153 are 1, 4153

The HCF of 8089,4153 is 1.

Lets's calculate GCF of 8089,4153

Greatest Common Factor (GCF) of 8089,4153 By Common Division

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

Greatest Common Factor of 8089,4153 By Matching Biggest Common Factor Method

Now, list down the factors of 8089

1,8089

Now, list down the factors of 4153

1,4153

Greatest Common Factor

We found the factors 8089,4153 . The biggest common factor number is the GCF number.
So the greatest common factor 8089,4153 is 1.

Lets's calculate LCM of 493,1220

Lowest Common Multiple of 493,1220 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 601460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/601460

Therefore, the GCF of Fractions 8089/493,4153/1220 is 1/601460

Least Common Multiple of 493,1220 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 493,1220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,1220) = 1

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

GCF(493,1220) x common factors =1 x 1 = 1

LCM(493,1220) = ( 493 × 1220 ) / 1

LCM(493,1220) = 601460 / 1

LCM(493,1220) = 601460

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8089/493, 4153/1220

1. What is the HCF of 8089,4153?

The HCF of 8089,4153 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 8089/493, 4153/1220?

Answer: GCF of Numerators as per given numbers 8089/493, 4153/1220 is

GCF of Numerators i.e. for 8089,4153 is 1

LCM of denominators i.e. for 493,1220 is 601460.

Thus, GCF of Fractions is 1/601460.Finally, GCF of Fractions for 8089/493, 4153/1220 is 1/601460.