GCF of 9465/919, 7194/8190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9465/919, 7194/8190 i.e 3/7526610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9465/919, 7194/8190.
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 9465/919,7194/8190?
Given fractions are 9465/919,7194/8190
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 9465/919,7194/8190, numerators are 9465,7194
Denominators are 919,8190
The GCF of 9465,7194 is 3 .
LCM of 919,8190 is 7526610.
The greatest common factor of 9465/919,7194/8190 = [GCF of 9465,7194]/[LCM of 919,8190]= 3/7526610
Therefore, the GCF of 9465/919,7194/8190 is 3/7526610.
To find the highest common factor of 9465,7194, we have to find the factors of both numbers and list the highest common factor.
The factors of 9465 are 1, 3, 5, 15, 631, 1893, 3155, 9465
The factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194
The HCF of 9465,7194 is 3.
Lets's calculate GCF of 9465,7194
| 3 | 9465, 7194 |
| 3155, 2398 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9465,7194 By Matching Biggest Common Factor Method
Now, list down the factors of 9465
:1,3,5,15,631,1893,3155,9465
Now, list down the factors of 7194
:1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194
Greatest Common Factor
We found the factors 9465,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 9465,7194 is 3.
Lets's calculate LCM of 919,8190
Given numbers has no common factors except 1. So, there LCM is their product i.e 7526610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7526610
Therefore, the GCF of Fractions 9465/919,7194/8190 is 3/7526610
Least Common Multiple of 919,8190 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 919,8190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,8190) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,8190) x common factors =1 x 1 = 1
LCM(919,8190) = ( 919 × 8190 ) / 1
LCM(919,8190) = 7526610 / 1
LCM(919,8190) = 7526610
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9465/919, 7194/8190
1. What is the HCF of 9465,7194?
The HCF of 9465,7194 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 9465/919, 7194/8190?
Answer: GCF of Numerators as per given numbers 9465/919, 7194/8190 is
GCF of Numerators i.e. for 9465,7194 is 3
LCM of denominators i.e. for 919,8190 is 7526610.
Thus, GCF of Fractions is 3/7526610.Finally, GCF of Fractions for 9465/919, 7194/8190 is 3/7526610.