GCF of 2919/216, 5985/430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2919/216, 5985/430 i.e 21/46440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2919/216, 5985/430.
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 2919/216,5985/430?
Given fractions are 2919/216,5985/430
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 2919/216,5985/430, numerators are 2919,5985
Denominators are 216,430
The GCF of 2919,5985 is 21 .
LCM of 216,430 is 46440.
The greatest common factor of 2919/216,5985/430 = [GCF of 2919,5985]/[LCM of 216,430]= 21/46440
Therefore, the GCF of 2919/216,5985/430 is 21/46440.
To find the highest common factor of 2919,5985, we have to find the factors of both numbers and list the highest common factor.
The factors of 2919 are 1, 3, 7, 21, 139, 417, 973, 2919
The factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985
The HCF of 2919,5985 is 21.
Lets's calculate GCF of 2919,5985
| 3 | 2919, 5985 |
| 7 | 973, 1995 |
| 139, 285 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 2919,5985 By Matching Biggest Common Factor Method
Now, list down the factors of 2919
:1,3,7,21,139,417,973,2919
Now, list down the factors of 5985
:1,3,5,7,9,15,19,21,35,45,57,63,95,105,133,171,285,315,399,665,855,1197,1995,5985
Greatest Common Factor
We found the factors 2919,5985 . The biggest common factor number is the GCF number.
So the greatest common factor 2919,5985 is 21.
Lets's calculate LCM of 216,430
| 2 | 216, 430 |
| 108, 215 |
∴ So the LCM of the given numbers is 2 x 108 x 215 = 46440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/46440
Therefore, the GCF of Fractions 2919/216,5985/430 is 21/46440
Least Common Multiple of 216,430 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 216,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(216,430) x common factors =2 x 1 = 2
LCM(216,430) = ( 216 × 430 ) / 2
LCM(216,430) = 92880 / 2
LCM(216,430) = 46440
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FAQs on GCF of Fractions of 2919/216, 5985/430
1. What is the HCF of 2919,5985?
The HCF of 2919,5985 is 21
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 2919/216, 5985/430?
Answer: GCF of Numerators as per given numbers 2919/216, 5985/430 is
GCF of Numerators i.e. for 2919,5985 is 21
LCM of denominators i.e. for 216,430 is 46440.
Thus, GCF of Fractions is 21/46440.Finally, GCF of Fractions for 2919/216, 5985/430 is 21/46440.