GCF of 1415/384, 3360/6477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1415/384, 3360/6477 i.e 5/829056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1415/384, 3360/6477.
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 1415/384,3360/6477?
Given fractions are 1415/384,3360/6477
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 1415/384,3360/6477, numerators are 1415,3360
Denominators are 384,6477
The GCF of 1415,3360 is 5 .
LCM of 384,6477 is 829056.
The greatest common factor of 1415/384,3360/6477 = [GCF of 1415,3360]/[LCM of 384,6477]= 5/829056
Therefore, the GCF of 1415/384,3360/6477 is 5/829056.
To find the highest common factor of 1415,3360, we have to find the factors of both numbers and list the highest common factor.
The factors of 1415 are 1, 5, 283, 1415
The factors of 3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360
The HCF of 1415,3360 is 5.
Lets's calculate GCF of 1415,3360
| 5 | 1415, 3360 |
| 283, 672 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1415,3360 By Matching Biggest Common Factor Method
Now, list down the factors of 1415
:1,5,283,1415
Now, list down the factors of 3360
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360
Greatest Common Factor
We found the factors 1415,3360 . The biggest common factor number is the GCF number.
So the greatest common factor 1415,3360 is 5.
Lets's calculate LCM of 384,6477
| 3 | 384, 6477 |
| 128, 2159 |
∴ So the LCM of the given numbers is 3 x 128 x 2159 = 829056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/829056
Therefore, the GCF of Fractions 1415/384,3360/6477 is 5/829056
Least Common Multiple of 384,6477 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 384,6477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,6477) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(384,6477) x common factors =3 x 1 = 3
LCM(384,6477) = ( 384 × 6477 ) / 3
LCM(384,6477) = 2487168 / 3
LCM(384,6477) = 829056
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FAQs on GCF of Fractions of 1415/384, 3360/6477
1. What is the HCF of 1415,3360?
The HCF of 1415,3360 is 5
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 1415/384, 3360/6477?
Answer: GCF of Numerators as per given numbers 1415/384, 3360/6477 is
GCF of Numerators i.e. for 1415,3360 is 5
LCM of denominators i.e. for 384,6477 is 829056.
Thus, GCF of Fractions is 5/829056.Finally, GCF of Fractions for 1415/384, 3360/6477 is 5/829056.