GCF of 4791/195, 3643/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4791/195, 3643/606 i.e 1/39390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4791/195, 3643/606.
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 4791/195,3643/606?
Given fractions are 4791/195,3643/606
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 4791/195,3643/606, numerators are 4791,3643
Denominators are 195,606
The GCF of 4791,3643 is 1 .
LCM of 195,606 is 39390.
The greatest common factor of 4791/195,3643/606 = [GCF of 4791,3643]/[LCM of 195,606]= 1/39390
Therefore, the GCF of 4791/195,3643/606 is 1/39390.
To find the highest common factor of 4791,3643, we have to find the factors of both numbers and list the highest common factor.
The factors of 4791 are 1, 3, 1597, 4791
The factors of 3643 are 1, 3643
The HCF of 4791,3643 is 1.
Lets's calculate GCF of 4791,3643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4791,3643 By Matching Biggest Common Factor Method
Now, list down the factors of 4791
:1,3,1597,4791
Now, list down the factors of 3643
:1,3643
Greatest Common Factor
We found the factors 4791,3643 . The biggest common factor number is the GCF number.
So the greatest common factor 4791,3643 is 1.
Lets's calculate LCM of 195,606
| 3 | 195, 606 |
| 65, 202 |
∴ So the LCM of the given numbers is 3 x 65 x 202 = 39390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39390
Therefore, the GCF of Fractions 4791/195,3643/606 is 1/39390
Least Common Multiple of 195,606 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 195,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,606) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,606) x common factors =3 x 1 = 3
LCM(195,606) = ( 195 × 606 ) / 3
LCM(195,606) = 118170 / 3
LCM(195,606) = 39390
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4791/195, 3643/606
1. What is the HCF of 4791,3643?
The HCF of 4791,3643 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 4791/195, 3643/606?
Answer: GCF of Numerators as per given numbers 4791/195, 3643/606 is
GCF of Numerators i.e. for 4791,3643 is 1
LCM of denominators i.e. for 195,606 is 39390.
Thus, GCF of Fractions is 1/39390.Finally, GCF of Fractions for 4791/195, 3643/606 is 1/39390.