GCF of 868/21, 812/9831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 868/21, 812/9831 i.e 28/68817 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/21, 812/9831.
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 868/21,812/9831?
Given fractions are 868/21,812/9831
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 868/21,812/9831, numerators are 868,812
Denominators are 21,9831
The GCF of 868,812 is 28 .
LCM of 21,9831 is 68817.
The greatest common factor of 868/21,812/9831 = [GCF of 868,812]/[LCM of 21,9831]= 28/68817
Therefore, the GCF of 868/21,812/9831 is 28/68817.
To find the highest common factor of 868,812, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The HCF of 868,812 is 28.
Lets's calculate GCF of 868,812
| 2 | 868, 812 |
| 2 | 434, 406 |
| 7 | 217, 203 |
| 31, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 868,812 By Matching Biggest Common Factor Method
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 868,812 . The biggest common factor number is the GCF number.
So the greatest common factor 868,812 is 28.
Lets's calculate LCM of 21,9831
| 3 | 21, 9831 |
| 7, 3277 |
∴ So the LCM of the given numbers is 3 x 7 x 3277 = 68817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/68817
Therefore, the GCF of Fractions 868/21,812/9831 is 28/68817
Least Common Multiple of 21,9831 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 21,9831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,9831) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(21,9831) x common factors =3 x 1 = 3
LCM(21,9831) = ( 21 × 9831 ) / 3
LCM(21,9831) = 206451 / 3
LCM(21,9831) = 68817
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 868/21, 812/9831
1. What is the HCF of 868,812?
The HCF of 868,812 is 28
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 868/21, 812/9831?
Answer: GCF of Numerators as per given numbers 868/21, 812/9831 is
GCF of Numerators i.e. for 868,812 is 28
LCM of denominators i.e. for 21,9831 is 68817.
Thus, GCF of Fractions is 28/68817.Finally, GCF of Fractions for 868/21, 812/9831 is 28/68817.