GCF of 3810/284, 7260/2290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3810/284, 7260/2290 i.e 30/325180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3810/284, 7260/2290.
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 3810/284,7260/2290?
Given fractions are 3810/284,7260/2290
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 3810/284,7260/2290, numerators are 3810,7260
Denominators are 284,2290
The GCF of 3810,7260 is 30 .
LCM of 284,2290 is 325180.
The greatest common factor of 3810/284,7260/2290 = [GCF of 3810,7260]/[LCM of 284,2290]= 30/325180
Therefore, the GCF of 3810/284,7260/2290 is 30/325180.
To find the highest common factor of 3810,7260, we have to find the factors of both numbers and list the highest common factor.
The factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810
The factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260
The HCF of 3810,7260 is 30.
Lets's calculate GCF of 3810,7260
| 2 | 3810, 7260 |
| 3 | 1905, 3630 |
| 5 | 635, 1210 |
| 127, 242 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 3810,7260 By Matching Biggest Common Factor Method
Now, list down the factors of 3810
:1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Now, list down the factors of 7260
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260
Greatest Common Factor
We found the factors 3810,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 3810,7260 is 30.
Lets's calculate LCM of 284,2290
| 2 | 284, 2290 |
| 142, 1145 |
∴ So the LCM of the given numbers is 2 x 142 x 1145 = 325180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/325180
Therefore, the GCF of Fractions 3810/284,7260/2290 is 30/325180
Least Common Multiple of 284,2290 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 284,2290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,2290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,2290) x common factors =2 x 1 = 2
LCM(284,2290) = ( 284 × 2290 ) / 2
LCM(284,2290) = 650360 / 2
LCM(284,2290) = 325180
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FAQs on GCF of Fractions of 3810/284, 7260/2290
1. What is the HCF of 3810,7260?
The HCF of 3810,7260 is 30
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 3810/284, 7260/2290?
Answer: GCF of Numerators as per given numbers 3810/284, 7260/2290 is
GCF of Numerators i.e. for 3810,7260 is 30
LCM of denominators i.e. for 284,2290 is 325180.
Thus, GCF of Fractions is 30/325180.Finally, GCF of Fractions for 3810/284, 7260/2290 is 30/325180.