GCF of 201/82, 310/1594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 201/82, 310/1594 i.e 1/65354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 201/82, 310/1594.
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 201/82,310/1594?
Given fractions are 201/82,310/1594
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 201/82,310/1594, numerators are 201,310
Denominators are 82,1594
The GCF of 201,310 is 1 .
LCM of 82,1594 is 65354.
The greatest common factor of 201/82,310/1594 = [GCF of 201,310]/[LCM of 82,1594]= 1/65354
Therefore, the GCF of 201/82,310/1594 is 1/65354.
To find the highest common factor of 201,310, we have to find the factors of both numbers and list the highest common factor.
The factors of 201 are 1, 3, 67, 201
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The HCF of 201,310 is 1.
Lets's calculate GCF of 201,310
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 201,310 By Matching Biggest Common Factor Method
Now, list down the factors of 201
:1,3,67,201
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 201,310 . The biggest common factor number is the GCF number.
So the greatest common factor 201,310 is 1.
Lets's calculate LCM of 82,1594
| 2 | 82, 1594 |
| 41, 797 |
∴ So the LCM of the given numbers is 2 x 41 x 797 = 65354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65354
Therefore, the GCF of Fractions 201/82,310/1594 is 1/65354
Least Common Multiple of 82,1594 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 82,1594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,1594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,1594) x common factors =2 x 1 = 2
LCM(82,1594) = ( 82 × 1594 ) / 2
LCM(82,1594) = 130708 / 2
LCM(82,1594) = 65354
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FAQs on GCF of Fractions of 201/82, 310/1594
1. What is the HCF of 201,310?
The HCF of 201,310 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 201/82, 310/1594?
Answer: GCF of Numerators as per given numbers 201/82, 310/1594 is
GCF of Numerators i.e. for 201,310 is 1
LCM of denominators i.e. for 82,1594 is 65354.
Thus, GCF of Fractions is 1/65354.Finally, GCF of Fractions for 201/82, 310/1594 is 1/65354.