GCF of 4629/216, 4212/2307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4629/216, 4212/2307 i.e 3/166104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4629/216, 4212/2307.
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 4629/216,4212/2307?
Given fractions are 4629/216,4212/2307
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 4629/216,4212/2307, numerators are 4629,4212
Denominators are 216,2307
The GCF of 4629,4212 is 3 .
LCM of 216,2307 is 166104.
The greatest common factor of 4629/216,4212/2307 = [GCF of 4629,4212]/[LCM of 216,2307]= 3/166104
Therefore, the GCF of 4629/216,4212/2307 is 3/166104.
To find the highest common factor of 4629,4212, we have to find the factors of both numbers and list the highest common factor.
The factors of 4629 are 1, 3, 1543, 4629
The factors of 4212 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212
The HCF of 4629,4212 is 3.
Lets's calculate GCF of 4629,4212
| 3 | 4629, 4212 |
| 1543, 1404 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4629,4212 By Matching Biggest Common Factor Method
Now, list down the factors of 4629
:1,3,1543,4629
Now, list down the factors of 4212
:1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,81,108,117,156,162,234,324,351,468,702,1053,1404,2106,4212
Greatest Common Factor
We found the factors 4629,4212 . The biggest common factor number is the GCF number.
So the greatest common factor 4629,4212 is 3.
Lets's calculate LCM of 216,2307
| 3 | 216, 2307 |
| 72, 769 |
∴ So the LCM of the given numbers is 3 x 72 x 769 = 166104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/166104
Therefore, the GCF of Fractions 4629/216,4212/2307 is 3/166104
Least Common Multiple of 216,2307 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 216,2307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,2307) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(216,2307) x common factors =3 x 1 = 3
LCM(216,2307) = ( 216 × 2307 ) / 3
LCM(216,2307) = 498312 / 3
LCM(216,2307) = 166104
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FAQs on GCF of Fractions of 4629/216, 4212/2307
1. What is the HCF of 4629,4212?
The HCF of 4629,4212 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 4629/216, 4212/2307?
Answer: GCF of Numerators as per given numbers 4629/216, 4212/2307 is
GCF of Numerators i.e. for 4629,4212 is 3
LCM of denominators i.e. for 216,2307 is 166104.
Thus, GCF of Fractions is 3/166104.Finally, GCF of Fractions for 4629/216, 4212/2307 is 3/166104.