GCF of 236/83, 387/252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 236/83, 387/252 i.e 1/20916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/83, 387/252.
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 236/83,387/252?
Given fractions are 236/83,387/252
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 236/83,387/252, numerators are 236,387
Denominators are 83,252
The GCF of 236,387 is 1 .
LCM of 83,252 is 20916.
The greatest common factor of 236/83,387/252 = [GCF of 236,387]/[LCM of 83,252]= 1/20916
Therefore, the GCF of 236/83,387/252 is 1/20916.
To find the highest common factor of 236,387, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 387 are 1, 3, 9, 43, 129, 387
The HCF of 236,387 is 1.
Lets's calculate GCF of 236,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 236,387 By Matching Biggest Common Factor Method
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 387
:1,3,9,43,129,387
Greatest Common Factor
We found the factors 236,387 . The biggest common factor number is the GCF number.
So the greatest common factor 236,387 is 1.
Lets's calculate LCM of 83,252
Given numbers has no common factors except 1. So, there LCM is their product i.e 20916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20916
Therefore, the GCF of Fractions 236/83,387/252 is 1/20916
Least Common Multiple of 83,252 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 83,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,252) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,252) x common factors =1 x 1 = 1
LCM(83,252) = ( 83 × 252 ) / 1
LCM(83,252) = 20916 / 1
LCM(83,252) = 20916
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FAQs on GCF of Fractions of 236/83, 387/252
1. What is the HCF of 236,387?
The HCF of 236,387 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 236/83, 387/252?
Answer: GCF of Numerators as per given numbers 236/83, 387/252 is
GCF of Numerators i.e. for 236,387 is 1
LCM of denominators i.e. for 83,252 is 20916.
Thus, GCF of Fractions is 1/20916.Finally, GCF of Fractions for 236/83, 387/252 is 1/20916.