GCF of 9065/652, 9269/9262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9065/652, 9269/9262 i.e 1/3019412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9065/652, 9269/9262.
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 9065/652,9269/9262?
Given fractions are 9065/652,9269/9262
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 9065/652,9269/9262, numerators are 9065,9269
Denominators are 652,9262
The GCF of 9065,9269 is 1 .
LCM of 652,9262 is 3019412.
The greatest common factor of 9065/652,9269/9262 = [GCF of 9065,9269]/[LCM of 652,9262]= 1/3019412
Therefore, the GCF of 9065/652,9269/9262 is 1/3019412.
To find the highest common factor of 9065,9269, we have to find the factors of both numbers and list the highest common factor.
The factors of 9065 are 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065
The factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269
The HCF of 9065,9269 is 1.
Lets's calculate GCF of 9065,9269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9065,9269 By Matching Biggest Common Factor Method
Now, list down the factors of 9065
:1,5,7,35,37,49,185,245,259,1295,1813,9065
Now, list down the factors of 9269
:1,13,23,31,299,403,713,9269
Greatest Common Factor
We found the factors 9065,9269 . The biggest common factor number is the GCF number.
So the greatest common factor 9065,9269 is 1.
Lets's calculate LCM of 652,9262
| 2 | 652, 9262 |
| 326, 4631 |
∴ So the LCM of the given numbers is 2 x 326 x 4631 = 3019412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3019412
Therefore, the GCF of Fractions 9065/652,9269/9262 is 1/3019412
Least Common Multiple of 652,9262 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 652,9262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,9262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,9262) x common factors =2 x 1 = 2
LCM(652,9262) = ( 652 × 9262 ) / 2
LCM(652,9262) = 6038824 / 2
LCM(652,9262) = 3019412
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FAQs on GCF of Fractions of 9065/652, 9269/9262
1. What is the HCF of 9065,9269?
The HCF of 9065,9269 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 9065/652, 9269/9262?
Answer: GCF of Numerators as per given numbers 9065/652, 9269/9262 is
GCF of Numerators i.e. for 9065,9269 is 1
LCM of denominators i.e. for 652,9262 is 3019412.
Thus, GCF of Fractions is 1/3019412.Finally, GCF of Fractions for 9065/652, 9269/9262 is 1/3019412.