GCF of 7866/395, 4278/869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7866/395, 4278/869 i.e 138/4345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7866/395, 4278/869.
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 7866/395,4278/869?
Given fractions are 7866/395,4278/869
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 7866/395,4278/869, numerators are 7866,4278
Denominators are 395,869
The GCF of 7866,4278 is 138 .
LCM of 395,869 is 4345.
The greatest common factor of 7866/395,4278/869 = [GCF of 7866,4278]/[LCM of 395,869]= 138/4345
Therefore, the GCF of 7866/395,4278/869 is 138/4345.
To find the highest common factor of 7866,4278, 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 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278
The HCF of 7866,4278 is 138.
Lets's calculate GCF of 7866,4278
| 2 | 7866, 4278 |
| 3 | 3933, 2139 |
| 23 | 1311, 713 |
| 57, 31 |
∴ So the GCF of the given numbers is 2 x 3 x 23 = 138
Greatest Common Factor of 7866,4278 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 4278
:1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278
Greatest Common Factor
We found the factors 7866,4278 . The biggest common factor number is the GCF number.
So the greatest common factor 7866,4278 is 138.
Lets's calculate LCM of 395,869
| 79 | 395, 869 |
| 5, 11 |
∴ So the LCM of the given numbers is 79 x 5 x 11 = 4345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 138/4345
Therefore, the GCF of Fractions 7866/395,4278/869 is 138/4345
Least Common Multiple of 395,869 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 395,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,869) = 79
common factors(in case of two or more numbers have common factors) = 1
GCF(395,869) x common factors =79 x 1 = 79
LCM(395,869) = ( 395 × 869 ) / 79
LCM(395,869) = 343255 / 79
LCM(395,869) = 4345
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FAQs on GCF of Fractions of 7866/395, 4278/869
1. What is the HCF of 7866,4278?
The HCF of 7866,4278 is 138
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 7866/395, 4278/869?
Answer: GCF of Numerators as per given numbers 7866/395, 4278/869 is
GCF of Numerators i.e. for 7866,4278 is 138
LCM of denominators i.e. for 395,869 is 4345.
Thus, GCF of Fractions is 138/4345.Finally, GCF of Fractions for 7866/395, 4278/869 is 138/4345.