GCF of 6812/982, 7824/964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6812/982, 7824/964 i.e 4/473324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6812/982, 7824/964.
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 6812/982,7824/964?
Given fractions are 6812/982,7824/964
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 6812/982,7824/964, numerators are 6812,7824
Denominators are 982,964
The GCF of 6812,7824 is 4 .
LCM of 982,964 is 473324.
The greatest common factor of 6812/982,7824/964 = [GCF of 6812,7824]/[LCM of 982,964]= 4/473324
Therefore, the GCF of 6812/982,7824/964 is 4/473324.
To find the highest common factor of 6812,7824, we have to find the factors of both numbers and list the highest common factor.
The factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The factors of 7824 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824
The HCF of 6812,7824 is 4.
Lets's calculate GCF of 6812,7824
| 2 | 6812, 7824 |
| 2 | 3406, 3912 |
| 1703, 1956 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6812,7824 By Matching Biggest Common Factor Method
Now, list down the factors of 6812
:1,2,4,13,26,52,131,262,524,1703,3406,6812
Now, list down the factors of 7824
:1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824
Greatest Common Factor
We found the factors 6812,7824 . The biggest common factor number is the GCF number.
So the greatest common factor 6812,7824 is 4.
Lets's calculate LCM of 982,964
| 2 | 982, 964 |
| 491, 482 |
∴ So the LCM of the given numbers is 2 x 491 x 482 = 473324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/473324
Therefore, the GCF of Fractions 6812/982,7824/964 is 4/473324
Least Common Multiple of 982,964 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 982,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,964) x common factors =2 x 1 = 2
LCM(982,964) = ( 982 × 964 ) / 2
LCM(982,964) = 946648 / 2
LCM(982,964) = 473324
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6812/982, 7824/964
1. What is the HCF of 6812,7824?
The HCF of 6812,7824 is 4
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 6812/982, 7824/964?
Answer: GCF of Numerators as per given numbers 6812/982, 7824/964 is
GCF of Numerators i.e. for 6812,7824 is 4
LCM of denominators i.e. for 982,964 is 473324.
Thus, GCF of Fractions is 4/473324.Finally, GCF of Fractions for 6812/982, 7824/964 is 4/473324.