GCF of 8430/864, 9708/4955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8430/864, 9708/4955 i.e 6/4281120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8430/864, 9708/4955.
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 8430/864,9708/4955?
Given fractions are 8430/864,9708/4955
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 8430/864,9708/4955, numerators are 8430,9708
Denominators are 864,4955
The GCF of 8430,9708 is 6 .
LCM of 864,4955 is 4281120.
The greatest common factor of 8430/864,9708/4955 = [GCF of 8430,9708]/[LCM of 864,4955]= 6/4281120
Therefore, the GCF of 8430/864,9708/4955 is 6/4281120.
To find the highest common factor of 8430,9708, we have to find the factors of both numbers and list the highest common factor.
The factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430
The factors of 9708 are 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708
The HCF of 8430,9708 is 6.
Lets's calculate GCF of 8430,9708
| 2 | 8430, 9708 |
| 3 | 4215, 4854 |
| 1405, 1618 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8430,9708 By Matching Biggest Common Factor Method
Now, list down the factors of 8430
:1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Now, list down the factors of 9708
:1,2,3,4,6,12,809,1618,2427,3236,4854,9708
Greatest Common Factor
We found the factors 8430,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 8430,9708 is 6.
Lets's calculate LCM of 864,4955
Given numbers has no common factors except 1. So, there LCM is their product i.e 4281120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4281120
Therefore, the GCF of Fractions 8430/864,9708/4955 is 6/4281120
Least Common Multiple of 864,4955 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 864,4955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,4955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(864,4955) x common factors =1 x 1 = 1
LCM(864,4955) = ( 864 × 4955 ) / 1
LCM(864,4955) = 4281120 / 1
LCM(864,4955) = 4281120
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8430/864, 9708/4955
1. What is the HCF of 8430,9708?
The HCF of 8430,9708 is 6
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 8430/864, 9708/4955?
Answer: GCF of Numerators as per given numbers 8430/864, 9708/4955 is
GCF of Numerators i.e. for 8430,9708 is 6
LCM of denominators i.e. for 864,4955 is 4281120.
Thus, GCF of Fractions is 6/4281120.Finally, GCF of Fractions for 8430/864, 9708/4955 is 6/4281120.