GCF of 5229/345, 1566/6216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5229/345, 1566/6216 i.e 9/714840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5229/345, 1566/6216.
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 5229/345,1566/6216?
Given fractions are 5229/345,1566/6216
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 5229/345,1566/6216, numerators are 5229,1566
Denominators are 345,6216
The GCF of 5229,1566 is 9 .
LCM of 345,6216 is 714840.
The greatest common factor of 5229/345,1566/6216 = [GCF of 5229,1566]/[LCM of 345,6216]= 9/714840
Therefore, the GCF of 5229/345,1566/6216 is 9/714840.
To find the highest common factor of 5229,1566, we have to find the factors of both numbers and list the highest common factor.
The factors of 5229 are 1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229
The factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566
The HCF of 5229,1566 is 9.
Lets's calculate GCF of 5229,1566
| 3 | 5229, 1566 |
| 3 | 1743, 522 |
| 581, 174 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5229,1566 By Matching Biggest Common Factor Method
Now, list down the factors of 5229
:1,3,7,9,21,63,83,249,581,747,1743,5229
Now, list down the factors of 1566
:1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566
Greatest Common Factor
We found the factors 5229,1566 . The biggest common factor number is the GCF number.
So the greatest common factor 5229,1566 is 9.
Lets's calculate LCM of 345,6216
| 3 | 345, 6216 |
| 115, 2072 |
∴ So the LCM of the given numbers is 3 x 115 x 2072 = 714840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/714840
Therefore, the GCF of Fractions 5229/345,1566/6216 is 9/714840
Least Common Multiple of 345,6216 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 345,6216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,6216) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,6216) x common factors =3 x 1 = 3
LCM(345,6216) = ( 345 × 6216 ) / 3
LCM(345,6216) = 2144520 / 3
LCM(345,6216) = 714840
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FAQs on GCF of Fractions of 5229/345, 1566/6216
1. What is the HCF of 5229,1566?
The HCF of 5229,1566 is 9
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 5229/345, 1566/6216?
Answer: GCF of Numerators as per given numbers 5229/345, 1566/6216 is
GCF of Numerators i.e. for 5229,1566 is 9
LCM of denominators i.e. for 345,6216 is 714840.
Thus, GCF of Fractions is 9/714840.Finally, GCF of Fractions for 5229/345, 1566/6216 is 9/714840.