GCF of 2415/764, 3183/2504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2415/764, 3183/2504 i.e 3/478264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2415/764, 3183/2504.
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 2415/764,3183/2504?
Given fractions are 2415/764,3183/2504
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 2415/764,3183/2504, numerators are 2415,3183
Denominators are 764,2504
The GCF of 2415,3183 is 3 .
LCM of 764,2504 is 478264.
The greatest common factor of 2415/764,3183/2504 = [GCF of 2415,3183]/[LCM of 764,2504]= 3/478264
Therefore, the GCF of 2415/764,3183/2504 is 3/478264.
To find the highest common factor of 2415,3183, 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 3183 are 1, 3, 1061, 3183
The HCF of 2415,3183 is 3.
Lets's calculate GCF of 2415,3183
| 3 | 2415, 3183 |
| 805, 1061 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2415,3183 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 3183
:1,3,1061,3183
Greatest Common Factor
We found the factors 2415,3183 . The biggest common factor number is the GCF number.
So the greatest common factor 2415,3183 is 3.
Lets's calculate LCM of 764,2504
| 2 | 764, 2504 |
| 2 | 382, 1252 |
| 191, 626 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 626 = 478264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/478264
Therefore, the GCF of Fractions 2415/764,3183/2504 is 3/478264
Least Common Multiple of 764,2504 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 764,2504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,2504) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,2504) x common factors =4 x 1 = 4
LCM(764,2504) = ( 764 × 2504 ) / 4
LCM(764,2504) = 1913056 / 4
LCM(764,2504) = 478264
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FAQs on GCF of Fractions of 2415/764, 3183/2504
1. What is the HCF of 2415,3183?
The HCF of 2415,3183 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 2415/764, 3183/2504?
Answer: GCF of Numerators as per given numbers 2415/764, 3183/2504 is
GCF of Numerators i.e. for 2415,3183 is 3
LCM of denominators i.e. for 764,2504 is 478264.
Thus, GCF of Fractions is 3/478264.Finally, GCF of Fractions for 2415/764, 3183/2504 is 3/478264.