GCF of 16/397, 52/938, 387/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 16/397, 52/938, 387/207 i.e 1/77083902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/397, 52/938, 387/207.
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 16/397,52/938,387/207?
Given fractions are 16/397,52/938,387/207
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 16/397,52/938,387/207, numerators are 16,52,387
Denominators are 397,938,207
The GCF of 16,52,387 is 1 .
LCM of 397,938,207 is 77083902.
The greatest common factor of 16/397,52/938,387/207 = [GCF of 16,52,387]/[LCM of 397,938,207]= 1/77083902
Therefore, the GCF of 16/397,52/938,387/207 is 1/77083902.
To find the highest common factor of 16,52,387, we have to find the factors of both numbers and list the highest common factor.
The factors of 16 are 1, 2, 4, 8, 16
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 387 are 1, 3, 9, 43, 129, 387
The HCF of 16,52,387 is 1.
Lets's calculate GCF of 16,52,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 16,52,387 By Matching Biggest Common Factor Method
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 387
:1,3,9,43,129,387
Greatest Common Factor
We found the factors 16,52,387 . The biggest common factor number is the GCF number.
So the greatest common factor 16,52,387 is 1.
Lets's calculate LCM of 397,938,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 77083902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77083902
Therefore, the GCF of Fractions 16/397,52/938,387/207 is 1/77083902
Least Common Multiple of 397,938,207 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 397,938,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,938,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,938,207) x common factors =1 x 1 = 1
LCM(397,938,207) = ( 397 × 938 × 207 ) / 1
LCM(397,938,207) = 77083902 / 1
LCM(397,938,207) = 77083902
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FAQs on GCF of Fractions of 16/397, 52/938, 387/207
1. What is the HCF of 16,52,387?
The HCF of 16,52,387 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 16/397, 52/938, 387/207?
Answer: GCF of Numerators as per given numbers 16/397, 52/938, 387/207 is
GCF of Numerators i.e. for 16,52,387 is 1
LCM of denominators i.e. for 397,938,207 is 77083902.
Thus, GCF of Fractions is 1/77083902.Finally, GCF of Fractions for 16/397, 52/938, 387/207 is 1/77083902.