GCF of 3933/972, 8316/8178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3933/972, 8316/8178 i.e 9/1324836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3933/972, 8316/8178.
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 3933/972,8316/8178?
Given fractions are 3933/972,8316/8178
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 3933/972,8316/8178, numerators are 3933,8316
Denominators are 972,8178
The GCF of 3933,8316 is 9 .
LCM of 972,8178 is 1324836.
The greatest common factor of 3933/972,8316/8178 = [GCF of 3933,8316]/[LCM of 972,8178]= 9/1324836
Therefore, the GCF of 3933/972,8316/8178 is 9/1324836.
To find the highest common factor of 3933,8316, we have to find the factors of both numbers and list the highest common factor.
The factors of 3933 are 1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 1311, 3933
The factors of 8316 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316
The HCF of 3933,8316 is 9.
Lets's calculate GCF of 3933,8316
| 3 | 3933, 8316 |
| 3 | 1311, 2772 |
| 437, 924 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3933,8316 By Matching Biggest Common Factor Method
Now, list down the factors of 3933
:1,3,9,19,23,57,69,171,207,437,1311,3933
Now, list down the factors of 8316
:1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316
Greatest Common Factor
We found the factors 3933,8316 . The biggest common factor number is the GCF number.
So the greatest common factor 3933,8316 is 9.
Lets's calculate LCM of 972,8178
| 2 | 972, 8178 |
| 3 | 486, 4089 |
| 162, 1363 |
∴ So the LCM of the given numbers is 2 x 3 x 162 x 1363 = 1324836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1324836
Therefore, the GCF of Fractions 3933/972,8316/8178 is 9/1324836
Least Common Multiple of 972,8178 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 972,8178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,8178) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(972,8178) x common factors =6 x 1 = 6
LCM(972,8178) = ( 972 × 8178 ) / 6
LCM(972,8178) = 7949016 / 6
LCM(972,8178) = 1324836
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3933/972, 8316/8178
1. What is the HCF of 3933,8316?
The HCF of 3933,8316 is 9
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 3933/972, 8316/8178?
Answer: GCF of Numerators as per given numbers 3933/972, 8316/8178 is
GCF of Numerators i.e. for 3933,8316 is 9
LCM of denominators i.e. for 972,8178 is 1324836.
Thus, GCF of Fractions is 9/1324836.Finally, GCF of Fractions for 3933/972, 8316/8178 is 9/1324836.