GCF of 4860/378, 3827/5566
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4860/378, 3827/5566 i.e 1/1051974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4860/378, 3827/5566.
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 4860/378,3827/5566?
Given fractions are 4860/378,3827/5566
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 4860/378,3827/5566, numerators are 4860,3827
Denominators are 378,5566
The GCF of 4860,3827 is 1 .
LCM of 378,5566 is 1051974.
The greatest common factor of 4860/378,3827/5566 = [GCF of 4860,3827]/[LCM of 378,5566]= 1/1051974
Therefore, the GCF of 4860/378,3827/5566 is 1/1051974.
To find the highest common factor of 4860,3827, we have to find the factors of both numbers and list the highest common factor.
The factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860
The factors of 3827 are 1, 43, 89, 3827
The HCF of 4860,3827 is 1.
Lets's calculate GCF of 4860,3827
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4860,3827 By Matching Biggest Common Factor Method
Now, list down the factors of 4860
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860
Now, list down the factors of 3827
:1,43,89,3827
Greatest Common Factor
We found the factors 4860,3827 . The biggest common factor number is the GCF number.
So the greatest common factor 4860,3827 is 1.
Lets's calculate LCM of 378,5566
| 2 | 378, 5566 |
| 189, 2783 |
∴ So the LCM of the given numbers is 2 x 189 x 2783 = 1051974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1051974
Therefore, the GCF of Fractions 4860/378,3827/5566 is 1/1051974
Least Common Multiple of 378,5566 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 378,5566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,5566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(378,5566) x common factors =2 x 1 = 2
LCM(378,5566) = ( 378 × 5566 ) / 2
LCM(378,5566) = 2103948 / 2
LCM(378,5566) = 1051974
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4860/378, 3827/5566
1. What is the HCF of 4860,3827?
The HCF of 4860,3827 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 4860/378, 3827/5566?
Answer: GCF of Numerators as per given numbers 4860/378, 3827/5566 is
GCF of Numerators i.e. for 4860,3827 is 1
LCM of denominators i.e. for 378,5566 is 1051974.
Thus, GCF of Fractions is 1/1051974.Finally, GCF of Fractions for 4860/378, 3827/5566 is 1/1051974.