GCF of 4845/239, 1987/3333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4845/239, 1987/3333 i.e 1/796587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4845/239, 1987/3333.
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 4845/239,1987/3333?
Given fractions are 4845/239,1987/3333
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 4845/239,1987/3333, numerators are 4845,1987
Denominators are 239,3333
The GCF of 4845,1987 is 1 .
LCM of 239,3333 is 796587.
The greatest common factor of 4845/239,1987/3333 = [GCF of 4845,1987]/[LCM of 239,3333]= 1/796587
Therefore, the GCF of 4845/239,1987/3333 is 1/796587.
To find the highest common factor of 4845,1987, we have to find the factors of both numbers and list the highest common factor.
The factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845
The factors of 1987 are 1, 1987
The HCF of 4845,1987 is 1.
Lets's calculate GCF of 4845,1987
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4845,1987 By Matching Biggest Common Factor Method
Now, list down the factors of 4845
:1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845
Now, list down the factors of 1987
:1,1987
Greatest Common Factor
We found the factors 4845,1987 . The biggest common factor number is the GCF number.
So the greatest common factor 4845,1987 is 1.
Lets's calculate LCM of 239,3333
Given numbers has no common factors except 1. So, there LCM is their product i.e 796587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/796587
Therefore, the GCF of Fractions 4845/239,1987/3333 is 1/796587
Least Common Multiple of 239,3333 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 239,3333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,3333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,3333) x common factors =1 x 1 = 1
LCM(239,3333) = ( 239 × 3333 ) / 1
LCM(239,3333) = 796587 / 1
LCM(239,3333) = 796587
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4845/239, 1987/3333
1. What is the HCF of 4845,1987?
The HCF of 4845,1987 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 4845/239, 1987/3333?
Answer: GCF of Numerators as per given numbers 4845/239, 1987/3333 is
GCF of Numerators i.e. for 4845,1987 is 1
LCM of denominators i.e. for 239,3333 is 796587.
Thus, GCF of Fractions is 1/796587.Finally, GCF of Fractions for 4845/239, 1987/3333 is 1/796587.