GCF of 7659/141, 7866/7844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7659/141, 7866/7844 i.e 207/1106004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7659/141, 7866/7844.
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 7659/141,7866/7844?
Given fractions are 7659/141,7866/7844
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 7659/141,7866/7844, numerators are 7659,7866
Denominators are 141,7844
The GCF of 7659,7866 is 207 .
LCM of 141,7844 is 1106004.
The greatest common factor of 7659/141,7866/7844 = [GCF of 7659,7866]/[LCM of 141,7844]= 207/1106004
Therefore, the GCF of 7659/141,7866/7844 is 207/1106004.
To find the highest common factor of 7659,7866, we have to find the factors of both numbers and list the highest common factor.
The factors of 7659 are 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659
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 HCF of 7659,7866 is 207.
Lets's calculate GCF of 7659,7866
| 3 | 7659, 7866 |
| 3 | 2553, 2622 |
| 23 | 851, 874 |
| 37, 38 |
∴ So the GCF of the given numbers is 3 x 3 x 23 = 207
Greatest Common Factor of 7659,7866 By Matching Biggest Common Factor Method
Now, list down the factors of 7659
:1,3,9,23,37,69,111,207,333,851,2553,7659
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
Greatest Common Factor
We found the factors 7659,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 7659,7866 is 207.
Lets's calculate LCM of 141,7844
Given numbers has no common factors except 1. So, there LCM is their product i.e 1106004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 207/1106004
Therefore, the GCF of Fractions 7659/141,7866/7844 is 207/1106004
Least Common Multiple of 141,7844 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 141,7844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,7844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,7844) x common factors =1 x 1 = 1
LCM(141,7844) = ( 141 × 7844 ) / 1
LCM(141,7844) = 1106004 / 1
LCM(141,7844) = 1106004
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7659/141, 7866/7844
1. What is the HCF of 7659,7866?
The HCF of 7659,7866 is 207
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 7659/141, 7866/7844?
Answer: GCF of Numerators as per given numbers 7659/141, 7866/7844 is
GCF of Numerators i.e. for 7659,7866 is 207
LCM of denominators i.e. for 141,7844 is 1106004.
Thus, GCF of Fractions is 207/1106004.Finally, GCF of Fractions for 7659/141, 7866/7844 is 207/1106004.