GCF of 4427/978, 4228/3215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4427/978, 4228/3215 i.e 1/3144270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4427/978, 4228/3215.
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 4427/978,4228/3215?
Given fractions are 4427/978,4228/3215
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 4427/978,4228/3215, numerators are 4427,4228
Denominators are 978,3215
The GCF of 4427,4228 is 1 .
LCM of 978,3215 is 3144270.
The greatest common factor of 4427/978,4228/3215 = [GCF of 4427,4228]/[LCM of 978,3215]= 1/3144270
Therefore, the GCF of 4427/978,4228/3215 is 1/3144270.
To find the highest common factor of 4427,4228, we have to find the factors of both numbers and list the highest common factor.
The factors of 4427 are 1, 19, 233, 4427
The factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228
The HCF of 4427,4228 is 1.
Lets's calculate GCF of 4427,4228
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4427,4228 By Matching Biggest Common Factor Method
Now, list down the factors of 4427
:1,19,233,4427
Now, list down the factors of 4228
:1,2,4,7,14,28,151,302,604,1057,2114,4228
Greatest Common Factor
We found the factors 4427,4228 . The biggest common factor number is the GCF number.
So the greatest common factor 4427,4228 is 1.
Lets's calculate LCM of 978,3215
Given numbers has no common factors except 1. So, there LCM is their product i.e 3144270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3144270
Therefore, the GCF of Fractions 4427/978,4228/3215 is 1/3144270
Least Common Multiple of 978,3215 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 978,3215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,3215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,3215) x common factors =1 x 1 = 1
LCM(978,3215) = ( 978 × 3215 ) / 1
LCM(978,3215) = 3144270 / 1
LCM(978,3215) = 3144270
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4427/978, 4228/3215
1. What is the HCF of 4427,4228?
The HCF of 4427,4228 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 4427/978, 4228/3215?
Answer: GCF of Numerators as per given numbers 4427/978, 4228/3215 is
GCF of Numerators i.e. for 4427,4228 is 1
LCM of denominators i.e. for 978,3215 is 3144270.
Thus, GCF of Fractions is 1/3144270.Finally, GCF of Fractions for 4427/978, 4228/3215 is 1/3144270.