GCF of 2415/142, 9567/4663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2415/142, 9567/4663 i.e 3/662146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2415/142, 9567/4663.
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 2415/142,9567/4663?
Given fractions are 2415/142,9567/4663
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 2415/142,9567/4663, numerators are 2415,9567
Denominators are 142,4663
The GCF of 2415,9567 is 3 .
LCM of 142,4663 is 662146.
The greatest common factor of 2415/142,9567/4663 = [GCF of 2415,9567]/[LCM of 142,4663]= 3/662146
Therefore, the GCF of 2415/142,9567/4663 is 3/662146.
To find the highest common factor of 2415,9567, we have to find the factors of both numbers and list the highest common factor.
The factors of 2415 are 1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415
The factors of 9567 are 1, 3, 9, 1063, 3189, 9567
The HCF of 2415,9567 is 3.
Lets's calculate GCF of 2415,9567
| 3 | 2415, 9567 |
| 805, 3189 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2415,9567 By Matching Biggest Common Factor Method
Now, list down the factors of 2415
:1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415
Now, list down the factors of 9567
:1,3,9,1063,3189,9567
Greatest Common Factor
We found the factors 2415,9567 . The biggest common factor number is the GCF number.
So the greatest common factor 2415,9567 is 3.
Lets's calculate LCM of 142,4663
Given numbers has no common factors except 1. So, there LCM is their product i.e 662146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/662146
Therefore, the GCF of Fractions 2415/142,9567/4663 is 3/662146
Least Common Multiple of 142,4663 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 142,4663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,4663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,4663) x common factors =1 x 1 = 1
LCM(142,4663) = ( 142 × 4663 ) / 1
LCM(142,4663) = 662146 / 1
LCM(142,4663) = 662146
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FAQs on GCF of Fractions of 2415/142, 9567/4663
1. What is the HCF of 2415,9567?
The HCF of 2415,9567 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 2415/142, 9567/4663?
Answer: GCF of Numerators as per given numbers 2415/142, 9567/4663 is
GCF of Numerators i.e. for 2415,9567 is 3
LCM of denominators i.e. for 142,4663 is 662146.
Thus, GCF of Fractions is 3/662146.Finally, GCF of Fractions for 2415/142, 9567/4663 is 3/662146.