GCF of 7866/304, 1026/8056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7866/304, 1026/8056 i.e 342/16112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7866/304, 1026/8056.
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 7866/304,1026/8056?
Given fractions are 7866/304,1026/8056
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 7866/304,1026/8056, numerators are 7866,1026
Denominators are 304,8056
The GCF of 7866,1026 is 342 .
LCM of 304,8056 is 16112.
The greatest common factor of 7866/304,1026/8056 = [GCF of 7866,1026]/[LCM of 304,8056]= 342/16112
Therefore, the GCF of 7866/304,1026/8056 is 342/16112.
To find the highest common factor of 7866,1026, we have to find the factors of both numbers and list the highest common factor.
The factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866
The factors of 1026 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026
The HCF of 7866,1026 is 342.
Lets's calculate GCF of 7866,1026
| 2 | 7866, 1026 |
| 3 | 3933, 513 |
| 3 | 1311, 171 |
| 19 | 437, 57 |
| 23, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 19 = 342
Greatest Common Factor of 7866,1026 By Matching Biggest Common Factor Method
Now, list down the factors of 7866
:1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866
Now, list down the factors of 1026
:1,2,3,6,9,18,19,27,38,54,57,114,171,342,513,1026
Greatest Common Factor
We found the factors 7866,1026 . The biggest common factor number is the GCF number.
So the greatest common factor 7866,1026 is 342.
Lets's calculate LCM of 304,8056
| 2 | 304, 8056 |
| 2 | 152, 4028 |
| 2 | 76, 2014 |
| 19 | 38, 1007 |
| 2, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 2 x 53 = 16112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 342/16112
Therefore, the GCF of Fractions 7866/304,1026/8056 is 342/16112
Least Common Multiple of 304,8056 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 304,8056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,8056) = 152
common factors(in case of two or more numbers have common factors) = 1
GCF(304,8056) x common factors =152 x 1 = 152
LCM(304,8056) = ( 304 × 8056 ) / 152
LCM(304,8056) = 2449024 / 152
LCM(304,8056) = 16112
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FAQs on GCF of Fractions of 7866/304, 1026/8056
1. What is the HCF of 7866,1026?
The HCF of 7866,1026 is 342
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 7866/304, 1026/8056?
Answer: GCF of Numerators as per given numbers 7866/304, 1026/8056 is
GCF of Numerators i.e. for 7866,1026 is 342
LCM of denominators i.e. for 304,8056 is 16112.
Thus, GCF of Fractions is 342/16112.Finally, GCF of Fractions for 7866/304, 1026/8056 is 342/16112.