GCF of 2415/846, 5568/5452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2415/846, 5568/5452 i.e 3/49068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2415/846, 5568/5452.
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 2415/846,5568/5452?
Given fractions are 2415/846,5568/5452
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 2415/846,5568/5452, numerators are 2415,5568
Denominators are 846,5452
The GCF of 2415,5568 is 3 .
LCM of 846,5452 is 49068.
The greatest common factor of 2415/846,5568/5452 = [GCF of 2415,5568]/[LCM of 846,5452]= 3/49068
Therefore, the GCF of 2415/846,5568/5452 is 3/49068.
To find the highest common factor of 2415,5568, 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 5568 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568
The HCF of 2415,5568 is 3.
Lets's calculate GCF of 2415,5568
| 3 | 2415, 5568 |
| 805, 1856 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2415,5568 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 5568
:1,2,3,4,6,8,12,16,24,29,32,48,58,64,87,96,116,174,192,232,348,464,696,928,1392,1856,2784,5568
Greatest Common Factor
We found the factors 2415,5568 . The biggest common factor number is the GCF number.
So the greatest common factor 2415,5568 is 3.
Lets's calculate LCM of 846,5452
| 2 | 846, 5452 |
| 47 | 423, 2726 |
| 9, 58 |
∴ So the LCM of the given numbers is 2 x 47 x 9 x 58 = 49068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/49068
Therefore, the GCF of Fractions 2415/846,5568/5452 is 3/49068
Least Common Multiple of 846,5452 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 846,5452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,5452) = 94
common factors(in case of two or more numbers have common factors) = 1
GCF(846,5452) x common factors =94 x 1 = 94
LCM(846,5452) = ( 846 × 5452 ) / 94
LCM(846,5452) = 4612392 / 94
LCM(846,5452) = 49068
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FAQs on GCF of Fractions of 2415/846, 5568/5452
1. What is the HCF of 2415,5568?
The HCF of 2415,5568 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 2415/846, 5568/5452?
Answer: GCF of Numerators as per given numbers 2415/846, 5568/5452 is
GCF of Numerators i.e. for 2415,5568 is 3
LCM of denominators i.e. for 846,5452 is 49068.
Thus, GCF of Fractions is 3/49068.Finally, GCF of Fractions for 2415/846, 5568/5452 is 3/49068.