GCF of 9318/417, 9465/9702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9318/417, 9465/9702 i.e 3/1348578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9318/417, 9465/9702.
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 9318/417,9465/9702?
Given fractions are 9318/417,9465/9702
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 9318/417,9465/9702, numerators are 9318,9465
Denominators are 417,9702
The GCF of 9318,9465 is 3 .
LCM of 417,9702 is 1348578.
The greatest common factor of 9318/417,9465/9702 = [GCF of 9318,9465]/[LCM of 417,9702]= 3/1348578
Therefore, the GCF of 9318/417,9465/9702 is 3/1348578.
To find the highest common factor of 9318,9465, we have to find the factors of both numbers and list the highest common factor.
The factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318
The factors of 9465 are 1, 3, 5, 15, 631, 1893, 3155, 9465
The HCF of 9318,9465 is 3.
Lets's calculate GCF of 9318,9465
| 3 | 9318, 9465 |
| 3106, 3155 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9318,9465 By Matching Biggest Common Factor Method
Now, list down the factors of 9318
:1,2,3,6,1553,3106,4659,9318
Now, list down the factors of 9465
:1,3,5,15,631,1893,3155,9465
Greatest Common Factor
We found the factors 9318,9465 . The biggest common factor number is the GCF number.
So the greatest common factor 9318,9465 is 3.
Lets's calculate LCM of 417,9702
| 3 | 417, 9702 |
| 139, 3234 |
∴ So the LCM of the given numbers is 3 x 139 x 3234 = 1348578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1348578
Therefore, the GCF of Fractions 9318/417,9465/9702 is 3/1348578
Least Common Multiple of 417,9702 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 417,9702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,9702) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,9702) x common factors =3 x 1 = 3
LCM(417,9702) = ( 417 × 9702 ) / 3
LCM(417,9702) = 4045734 / 3
LCM(417,9702) = 1348578
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FAQs on GCF of Fractions of 9318/417, 9465/9702
1. What is the HCF of 9318,9465?
The HCF of 9318,9465 is 3
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 9318/417, 9465/9702?
Answer: GCF of Numerators as per given numbers 9318/417, 9465/9702 is
GCF of Numerators i.e. for 9318,9465 is 3
LCM of denominators i.e. for 417,9702 is 1348578.
Thus, GCF of Fractions is 3/1348578.Finally, GCF of Fractions for 9318/417, 9465/9702 is 3/1348578.