GCF of 9519/632, 3189/4365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9519/632, 3189/4365 i.e 3/2758680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9519/632, 3189/4365.
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 9519/632,3189/4365?
Given fractions are 9519/632,3189/4365
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 9519/632,3189/4365, numerators are 9519,3189
Denominators are 632,4365
The GCF of 9519,3189 is 3 .
LCM of 632,4365 is 2758680.
The greatest common factor of 9519/632,3189/4365 = [GCF of 9519,3189]/[LCM of 632,4365]= 3/2758680
Therefore, the GCF of 9519/632,3189/4365 is 3/2758680.
To find the highest common factor of 9519,3189, we have to find the factors of both numbers and list the highest common factor.
The factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519
The factors of 3189 are 1, 3, 1063, 3189
The HCF of 9519,3189 is 3.
Lets's calculate GCF of 9519,3189
| 3 | 9519, 3189 |
| 3173, 1063 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9519,3189 By Matching Biggest Common Factor Method
Now, list down the factors of 9519
:1,3,19,57,167,501,3173,9519
Now, list down the factors of 3189
:1,3,1063,3189
Greatest Common Factor
We found the factors 9519,3189 . The biggest common factor number is the GCF number.
So the greatest common factor 9519,3189 is 3.
Lets's calculate LCM of 632,4365
Given numbers has no common factors except 1. So, there LCM is their product i.e 2758680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2758680
Therefore, the GCF of Fractions 9519/632,3189/4365 is 3/2758680
Least Common Multiple of 632,4365 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 632,4365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,4365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,4365) x common factors =1 x 1 = 1
LCM(632,4365) = ( 632 × 4365 ) / 1
LCM(632,4365) = 2758680 / 1
LCM(632,4365) = 2758680
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FAQs on GCF of Fractions of 9519/632, 3189/4365
1. What is the HCF of 9519,3189?
The HCF of 9519,3189 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 9519/632, 3189/4365?
Answer: GCF of Numerators as per given numbers 9519/632, 3189/4365 is
GCF of Numerators i.e. for 9519,3189 is 3
LCM of denominators i.e. for 632,4365 is 2758680.
Thus, GCF of Fractions is 3/2758680.Finally, GCF of Fractions for 9519/632, 3189/4365 is 3/2758680.