GCF of 8336/412, 1158/9724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8336/412, 1158/9724 i.e 2/1001572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8336/412, 1158/9724.
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 8336/412,1158/9724?
Given fractions are 8336/412,1158/9724
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 8336/412,1158/9724, numerators are 8336,1158
Denominators are 412,9724
The GCF of 8336,1158 is 2 .
LCM of 412,9724 is 1001572.
The greatest common factor of 8336/412,1158/9724 = [GCF of 8336,1158]/[LCM of 412,9724]= 2/1001572
Therefore, the GCF of 8336/412,1158/9724 is 2/1001572.
To find the highest common factor of 8336,1158, we have to find the factors of both numbers and list the highest common factor.
The factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336
The factors of 1158 are 1, 2, 3, 6, 193, 386, 579, 1158
The HCF of 8336,1158 is 2.
Lets's calculate GCF of 8336,1158
| 2 | 8336, 1158 |
| 4168, 579 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8336,1158 By Matching Biggest Common Factor Method
Now, list down the factors of 8336
:1,2,4,8,16,521,1042,2084,4168,8336
Now, list down the factors of 1158
:1,2,3,6,193,386,579,1158
Greatest Common Factor
We found the factors 8336,1158 . The biggest common factor number is the GCF number.
So the greatest common factor 8336,1158 is 2.
Lets's calculate LCM of 412,9724
| 2 | 412, 9724 |
| 2 | 206, 4862 |
| 103, 2431 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 2431 = 1001572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1001572
Therefore, the GCF of Fractions 8336/412,1158/9724 is 2/1001572
Least Common Multiple of 412,9724 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 412,9724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,9724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,9724) x common factors =4 x 1 = 4
LCM(412,9724) = ( 412 × 9724 ) / 4
LCM(412,9724) = 4006288 / 4
LCM(412,9724) = 1001572
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8336/412, 1158/9724
1. What is the HCF of 8336,1158?
The HCF of 8336,1158 is 2
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 8336/412, 1158/9724?
Answer: GCF of Numerators as per given numbers 8336/412, 1158/9724 is
GCF of Numerators i.e. for 8336,1158 is 2
LCM of denominators i.e. for 412,9724 is 1001572.
Thus, GCF of Fractions is 2/1001572.Finally, GCF of Fractions for 8336/412, 1158/9724 is 2/1001572.