GCF of 2130/276, 1446/9185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2130/276, 1446/9185 i.e 6/2535060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2130/276, 1446/9185.
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 2130/276,1446/9185?
Given fractions are 2130/276,1446/9185
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 2130/276,1446/9185, numerators are 2130,1446
Denominators are 276,9185
The GCF of 2130,1446 is 6 .
LCM of 276,9185 is 2535060.
The greatest common factor of 2130/276,1446/9185 = [GCF of 2130,1446]/[LCM of 276,9185]= 6/2535060
Therefore, the GCF of 2130/276,1446/9185 is 6/2535060.
To find the highest common factor of 2130,1446, we have to find the factors of both numbers and list the highest common factor.
The factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130
The factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446
The HCF of 2130,1446 is 6.
Lets's calculate GCF of 2130,1446
| 2 | 2130, 1446 |
| 3 | 1065, 723 |
| 355, 241 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2130,1446 By Matching Biggest Common Factor Method
Now, list down the factors of 2130
:1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130
Now, list down the factors of 1446
:1,2,3,6,241,482,723,1446
Greatest Common Factor
We found the factors 2130,1446 . The biggest common factor number is the GCF number.
So the greatest common factor 2130,1446 is 6.
Lets's calculate LCM of 276,9185
Given numbers has no common factors except 1. So, there LCM is their product i.e 2535060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2535060
Therefore, the GCF of Fractions 2130/276,1446/9185 is 6/2535060
Least Common Multiple of 276,9185 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 276,9185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,9185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(276,9185) x common factors =1 x 1 = 1
LCM(276,9185) = ( 276 × 9185 ) / 1
LCM(276,9185) = 2535060 / 1
LCM(276,9185) = 2535060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2130/276, 1446/9185
1. What is the HCF of 2130,1446?
The HCF of 2130,1446 is 6
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 2130/276, 1446/9185?
Answer: GCF of Numerators as per given numbers 2130/276, 1446/9185 is
GCF of Numerators i.e. for 2130,1446 is 6
LCM of denominators i.e. for 276,9185 is 2535060.
Thus, GCF of Fractions is 6/2535060.Finally, GCF of Fractions for 2130/276, 1446/9185 is 6/2535060.