GCF of 3991/336, 5837/8600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3991/336, 5837/8600 i.e 13/361200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3991/336, 5837/8600.
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 3991/336,5837/8600?
Given fractions are 3991/336,5837/8600
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 3991/336,5837/8600, numerators are 3991,5837
Denominators are 336,8600
The GCF of 3991,5837 is 13 .
LCM of 336,8600 is 361200.
The greatest common factor of 3991/336,5837/8600 = [GCF of 3991,5837]/[LCM of 336,8600]= 13/361200
Therefore, the GCF of 3991/336,5837/8600 is 13/361200.
To find the highest common factor of 3991,5837, we have to find the factors of both numbers and list the highest common factor.
The factors of 3991 are 1, 13, 307, 3991
The factors of 5837 are 1, 13, 449, 5837
The HCF of 3991,5837 is 13.
Lets's calculate GCF of 3991,5837
| 13 | 3991, 5837 |
| 307, 449 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3991,5837 By Matching Biggest Common Factor Method
Now, list down the factors of 3991
:1,13,307,3991
Now, list down the factors of 5837
:1,13,449,5837
Greatest Common Factor
We found the factors 3991,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 3991,5837 is 13.
Lets's calculate LCM of 336,8600
| 2 | 336, 8600 |
| 2 | 168, 4300 |
| 2 | 84, 2150 |
| 42, 1075 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 42 x 1075 = 361200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/361200
Therefore, the GCF of Fractions 3991/336,5837/8600 is 13/361200
Least Common Multiple of 336,8600 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 336,8600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,8600) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(336,8600) x common factors =8 x 1 = 8
LCM(336,8600) = ( 336 × 8600 ) / 8
LCM(336,8600) = 2889600 / 8
LCM(336,8600) = 361200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3991/336, 5837/8600
1. What is the HCF of 3991,5837?
The HCF of 3991,5837 is 13
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 3991/336, 5837/8600?
Answer: GCF of Numerators as per given numbers 3991/336, 5837/8600 is
GCF of Numerators i.e. for 3991,5837 is 13
LCM of denominators i.e. for 336,8600 is 361200.
Thus, GCF of Fractions is 13/361200.Finally, GCF of Fractions for 3991/336, 5837/8600 is 13/361200.