GCF of 8768/976, 7326/8702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8768/976, 7326/8702 i.e 2/4246576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8768/976, 7326/8702.
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 8768/976,7326/8702?
Given fractions are 8768/976,7326/8702
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 8768/976,7326/8702, numerators are 8768,7326
Denominators are 976,8702
The GCF of 8768,7326 is 2 .
LCM of 976,8702 is 4246576.
The greatest common factor of 8768/976,7326/8702 = [GCF of 8768,7326]/[LCM of 976,8702]= 2/4246576
Therefore, the GCF of 8768/976,7326/8702 is 2/4246576.
To find the highest common factor of 8768,7326, we have to find the factors of both numbers and list the highest common factor.
The factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768
The factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326
The HCF of 8768,7326 is 2.
Lets's calculate GCF of 8768,7326
| 2 | 8768, 7326 |
| 4384, 3663 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8768,7326 By Matching Biggest Common Factor Method
Now, list down the factors of 8768
:1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768
Now, list down the factors of 7326
:1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326
Greatest Common Factor
We found the factors 8768,7326 . The biggest common factor number is the GCF number.
So the greatest common factor 8768,7326 is 2.
Lets's calculate LCM of 976,8702
| 2 | 976, 8702 |
| 488, 4351 |
∴ So the LCM of the given numbers is 2 x 488 x 4351 = 4246576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4246576
Therefore, the GCF of Fractions 8768/976,7326/8702 is 2/4246576
Least Common Multiple of 976,8702 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 976,8702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,8702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,8702) x common factors =2 x 1 = 2
LCM(976,8702) = ( 976 × 8702 ) / 2
LCM(976,8702) = 8493152 / 2
LCM(976,8702) = 4246576
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8768/976, 7326/8702
1. What is the HCF of 8768,7326?
The HCF of 8768,7326 is 2
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 8768/976, 7326/8702?
Answer: GCF of Numerators as per given numbers 8768/976, 7326/8702 is
GCF of Numerators i.e. for 8768,7326 is 2
LCM of denominators i.e. for 976,8702 is 4246576.
Thus, GCF of Fractions is 2/4246576.Finally, GCF of Fractions for 8768/976, 7326/8702 is 2/4246576.