GCF of 9435/765, 8516/7065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9435/765, 8516/7065 i.e 1/120105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9435/765, 8516/7065.
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 9435/765,8516/7065?
Given fractions are 9435/765,8516/7065
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 9435/765,8516/7065, numerators are 9435,8516
Denominators are 765,7065
The GCF of 9435,8516 is 1 .
LCM of 765,7065 is 120105.
The greatest common factor of 9435/765,8516/7065 = [GCF of 9435,8516]/[LCM of 765,7065]= 1/120105
Therefore, the GCF of 9435/765,8516/7065 is 1/120105.
To find the highest common factor of 9435,8516, we have to find the factors of both numbers and list the highest common factor.
The factors of 9435 are 1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435
The factors of 8516 are 1, 2, 4, 2129, 4258, 8516
The HCF of 9435,8516 is 1.
Lets's calculate GCF of 9435,8516
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9435,8516 By Matching Biggest Common Factor Method
Now, list down the factors of 9435
:1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435
Now, list down the factors of 8516
:1,2,4,2129,4258,8516
Greatest Common Factor
We found the factors 9435,8516 . The biggest common factor number is the GCF number.
So the greatest common factor 9435,8516 is 1.
Lets's calculate LCM of 765,7065
| 3 | 765, 7065 |
| 3 | 255, 2355 |
| 5 | 85, 785 |
| 17, 157 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 157 = 120105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120105
Therefore, the GCF of Fractions 9435/765,8516/7065 is 1/120105
Least Common Multiple of 765,7065 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 765,7065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,7065) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(765,7065) x common factors =45 x 1 = 45
LCM(765,7065) = ( 765 × 7065 ) / 45
LCM(765,7065) = 5404725 / 45
LCM(765,7065) = 120105
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FAQs on GCF of Fractions of 9435/765, 8516/7065
1. What is the HCF of 9435,8516?
The HCF of 9435,8516 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 9435/765, 8516/7065?
Answer: GCF of Numerators as per given numbers 9435/765, 8516/7065 is
GCF of Numerators i.e. for 9435,8516 is 1
LCM of denominators i.e. for 765,7065 is 120105.
Thus, GCF of Fractions is 1/120105.Finally, GCF of Fractions for 9435/765, 8516/7065 is 1/120105.