GCF of 8296/652, 3535/366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8296/652, 3535/366 i.e 1/119316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8296/652, 3535/366.
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 8296/652,3535/366?
Given fractions are 8296/652,3535/366
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 8296/652,3535/366, numerators are 8296,3535
Denominators are 652,366
The GCF of 8296,3535 is 1 .
LCM of 652,366 is 119316.
The greatest common factor of 8296/652,3535/366 = [GCF of 8296,3535]/[LCM of 652,366]= 1/119316
Therefore, the GCF of 8296/652,3535/366 is 1/119316.
To find the highest common factor of 8296,3535, we have to find the factors of both numbers and list the highest common factor.
The factors of 8296 are 1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 8296
The factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535
The HCF of 8296,3535 is 1.
Lets's calculate GCF of 8296,3535
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8296,3535 By Matching Biggest Common Factor Method
Now, list down the factors of 8296
:1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296
Now, list down the factors of 3535
:1,5,7,35,101,505,707,3535
Greatest Common Factor
We found the factors 8296,3535 . The biggest common factor number is the GCF number.
So the greatest common factor 8296,3535 is 1.
Lets's calculate LCM of 652,366
| 2 | 652, 366 |
| 326, 183 |
∴ So the LCM of the given numbers is 2 x 326 x 183 = 119316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119316
Therefore, the GCF of Fractions 8296/652,3535/366 is 1/119316
Least Common Multiple of 652,366 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 652,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,366) x common factors =2 x 1 = 2
LCM(652,366) = ( 652 × 366 ) / 2
LCM(652,366) = 238632 / 2
LCM(652,366) = 119316
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FAQs on GCF of Fractions of 8296/652, 3535/366
1. What is the HCF of 8296,3535?
The HCF of 8296,3535 is 1
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 8296/652, 3535/366?
Answer: GCF of Numerators as per given numbers 8296/652, 3535/366 is
GCF of Numerators i.e. for 8296,3535 is 1
LCM of denominators i.e. for 652,366 is 119316.
Thus, GCF of Fractions is 1/119316.Finally, GCF of Fractions for 8296/652, 3535/366 is 1/119316.