GCF of 3891/216, 4682/4047
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3891/216, 4682/4047 i.e 1/291384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3891/216, 4682/4047.
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 3891/216,4682/4047?
Given fractions are 3891/216,4682/4047
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 3891/216,4682/4047, numerators are 3891,4682
Denominators are 216,4047
The GCF of 3891,4682 is 1 .
LCM of 216,4047 is 291384.
The greatest common factor of 3891/216,4682/4047 = [GCF of 3891,4682]/[LCM of 216,4047]= 1/291384
Therefore, the GCF of 3891/216,4682/4047 is 1/291384.
To find the highest common factor of 3891,4682, we have to find the factors of both numbers and list the highest common factor.
The factors of 3891 are 1, 3, 1297, 3891
The factors of 4682 are 1, 2, 2341, 4682
The HCF of 3891,4682 is 1.
Lets's calculate GCF of 3891,4682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3891,4682 By Matching Biggest Common Factor Method
Now, list down the factors of 3891
:1,3,1297,3891
Now, list down the factors of 4682
:1,2,2341,4682
Greatest Common Factor
We found the factors 3891,4682 . The biggest common factor number is the GCF number.
So the greatest common factor 3891,4682 is 1.
Lets's calculate LCM of 216,4047
| 3 | 216, 4047 |
| 72, 1349 |
∴ So the LCM of the given numbers is 3 x 72 x 1349 = 291384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291384
Therefore, the GCF of Fractions 3891/216,4682/4047 is 1/291384
Least Common Multiple of 216,4047 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 216,4047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,4047) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(216,4047) x common factors =3 x 1 = 3
LCM(216,4047) = ( 216 × 4047 ) / 3
LCM(216,4047) = 874152 / 3
LCM(216,4047) = 291384
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FAQs on GCF of Fractions of 3891/216, 4682/4047
1. What is the HCF of 3891,4682?
The HCF of 3891,4682 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 3891/216, 4682/4047?
Answer: GCF of Numerators as per given numbers 3891/216, 4682/4047 is
GCF of Numerators i.e. for 3891,4682 is 1
LCM of denominators i.e. for 216,4047 is 291384.
Thus, GCF of Fractions is 1/291384.Finally, GCF of Fractions for 3891/216, 4682/4047 is 1/291384.