GCF of 8637/859, 5877/4443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8637/859, 5877/4443 i.e 3/3816537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8637/859, 5877/4443.
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 8637/859,5877/4443?
Given fractions are 8637/859,5877/4443
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 8637/859,5877/4443, numerators are 8637,5877
Denominators are 859,4443
The GCF of 8637,5877 is 3 .
LCM of 859,4443 is 3816537.
The greatest common factor of 8637/859,5877/4443 = [GCF of 8637,5877]/[LCM of 859,4443]= 3/3816537
Therefore, the GCF of 8637/859,5877/4443 is 3/3816537.
To find the highest common factor of 8637,5877, we have to find the factors of both numbers and list the highest common factor.
The factors of 8637 are 1, 3, 2879, 8637
The factors of 5877 are 1, 3, 9, 653, 1959, 5877
The HCF of 8637,5877 is 3.
Lets's calculate GCF of 8637,5877
| 3 | 8637, 5877 |
| 2879, 1959 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8637,5877 By Matching Biggest Common Factor Method
Now, list down the factors of 8637
:1,3,2879,8637
Now, list down the factors of 5877
:1,3,9,653,1959,5877
Greatest Common Factor
We found the factors 8637,5877 . The biggest common factor number is the GCF number.
So the greatest common factor 8637,5877 is 3.
Lets's calculate LCM of 859,4443
Given numbers has no common factors except 1. So, there LCM is their product i.e 3816537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3816537
Therefore, the GCF of Fractions 8637/859,5877/4443 is 3/3816537
Least Common Multiple of 859,4443 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 859,4443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,4443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,4443) x common factors =1 x 1 = 1
LCM(859,4443) = ( 859 × 4443 ) / 1
LCM(859,4443) = 3816537 / 1
LCM(859,4443) = 3816537
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8637/859, 5877/4443
1. What is the HCF of 8637,5877?
The HCF of 8637,5877 is 3
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 8637/859, 5877/4443?
Answer: GCF of Numerators as per given numbers 8637/859, 5877/4443 is
GCF of Numerators i.e. for 8637,5877 is 3
LCM of denominators i.e. for 859,4443 is 3816537.
Thus, GCF of Fractions is 3/3816537.Finally, GCF of Fractions for 8637/859, 5877/4443 is 3/3816537.