GCF of 3887/987, 4867/331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3887/987, 4867/331 i.e 1/326697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3887/987, 4867/331.
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 3887/987,4867/331?
Given fractions are 3887/987,4867/331
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 3887/987,4867/331, numerators are 3887,4867
Denominators are 987,331
The GCF of 3887,4867 is 1 .
LCM of 987,331 is 326697.
The greatest common factor of 3887/987,4867/331 = [GCF of 3887,4867]/[LCM of 987,331]= 1/326697
Therefore, the GCF of 3887/987,4867/331 is 1/326697.
To find the highest common factor of 3887,4867, we have to find the factors of both numbers and list the highest common factor.
The factors of 3887 are 1, 13, 23, 169, 299, 3887
The factors of 4867 are 1, 31, 157, 4867
The HCF of 3887,4867 is 1.
Lets's calculate GCF of 3887,4867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3887,4867 By Matching Biggest Common Factor Method
Now, list down the factors of 3887
:1,13,23,169,299,3887
Now, list down the factors of 4867
:1,31,157,4867
Greatest Common Factor
We found the factors 3887,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 3887,4867 is 1.
Lets's calculate LCM of 987,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 326697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326697
Therefore, the GCF of Fractions 3887/987,4867/331 is 1/326697
Least Common Multiple of 987,331 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 987,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,331) x common factors =1 x 1 = 1
LCM(987,331) = ( 987 × 331 ) / 1
LCM(987,331) = 326697 / 1
LCM(987,331) = 326697
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3887/987, 4867/331
1. What is the HCF of 3887,4867?
The HCF of 3887,4867 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 3887/987, 4867/331?
Answer: GCF of Numerators as per given numbers 3887/987, 4867/331 is
GCF of Numerators i.e. for 3887,4867 is 1
LCM of denominators i.e. for 987,331 is 326697.
Thus, GCF of Fractions is 1/326697.Finally, GCF of Fractions for 3887/987, 4867/331 is 1/326697.