GCF of 2732/221, 4239/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2732/221, 4239/971 i.e 1/214591 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2732/221, 4239/971.
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 2732/221,4239/971?
Given fractions are 2732/221,4239/971
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 2732/221,4239/971, numerators are 2732,4239
Denominators are 221,971
The GCF of 2732,4239 is 1 .
LCM of 221,971 is 214591.
The greatest common factor of 2732/221,4239/971 = [GCF of 2732,4239]/[LCM of 221,971]= 1/214591
Therefore, the GCF of 2732/221,4239/971 is 1/214591.
To find the highest common factor of 2732,4239, we have to find the factors of both numbers and list the highest common factor.
The factors of 2732 are 1, 2, 4, 683, 1366, 2732
The factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239
The HCF of 2732,4239 is 1.
Lets's calculate GCF of 2732,4239
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2732,4239 By Matching Biggest Common Factor Method
Now, list down the factors of 2732
:1,2,4,683,1366,2732
Now, list down the factors of 4239
:1,3,9,27,157,471,1413,4239
Greatest Common Factor
We found the factors 2732,4239 . The biggest common factor number is the GCF number.
So the greatest common factor 2732,4239 is 1.
Lets's calculate LCM of 221,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 214591
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214591
Therefore, the GCF of Fractions 2732/221,4239/971 is 1/214591
Least Common Multiple of 221,971 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 221,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,971) x common factors =1 x 1 = 1
LCM(221,971) = ( 221 × 971 ) / 1
LCM(221,971) = 214591 / 1
LCM(221,971) = 214591
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FAQs on GCF of Fractions of 2732/221, 4239/971
1. What is the HCF of 2732,4239?
The HCF of 2732,4239 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 2732/221, 4239/971?
Answer: GCF of Numerators as per given numbers 2732/221, 4239/971 is
GCF of Numerators i.e. for 2732,4239 is 1
LCM of denominators i.e. for 221,971 is 214591.
Thus, GCF of Fractions is 1/214591.Finally, GCF of Fractions for 2732/221, 4239/971 is 1/214591.