GCF of 1215/445, 3564/7218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1215/445, 3564/7218 i.e 81/3212010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1215/445, 3564/7218.
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 1215/445,3564/7218?
Given fractions are 1215/445,3564/7218
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 1215/445,3564/7218, numerators are 1215,3564
Denominators are 445,7218
The GCF of 1215,3564 is 81 .
LCM of 445,7218 is 3212010.
The greatest common factor of 1215/445,3564/7218 = [GCF of 1215,3564]/[LCM of 445,7218]= 81/3212010
Therefore, the GCF of 1215/445,3564/7218 is 81/3212010.
To find the highest common factor of 1215,3564, we have to find the factors of both numbers and list the highest common factor.
The factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
The factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564
The HCF of 1215,3564 is 81.
Lets's calculate GCF of 1215,3564
| 3 | 1215, 3564 |
| 3 | 405, 1188 |
| 3 | 135, 396 |
| 3 | 45, 132 |
| 15, 44 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 1215,3564 By Matching Biggest Common Factor Method
Now, list down the factors of 1215
:1,3,5,9,15,27,45,81,135,243,405,1215
Now, list down the factors of 3564
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564
Greatest Common Factor
We found the factors 1215,3564 . The biggest common factor number is the GCF number.
So the greatest common factor 1215,3564 is 81.
Lets's calculate LCM of 445,7218
Given numbers has no common factors except 1. So, there LCM is their product i.e 3212010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/3212010
Therefore, the GCF of Fractions 1215/445,3564/7218 is 81/3212010
Least Common Multiple of 445,7218 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 445,7218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,7218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,7218) x common factors =1 x 1 = 1
LCM(445,7218) = ( 445 × 7218 ) / 1
LCM(445,7218) = 3212010 / 1
LCM(445,7218) = 3212010
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FAQs on GCF of Fractions of 1215/445, 3564/7218
1. What is the HCF of 1215,3564?
The HCF of 1215,3564 is 81
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 1215/445, 3564/7218?
Answer: GCF of Numerators as per given numbers 1215/445, 3564/7218 is
GCF of Numerators i.e. for 1215,3564 is 81
LCM of denominators i.e. for 445,7218 is 3212010.
Thus, GCF of Fractions is 81/3212010.Finally, GCF of Fractions for 1215/445, 3564/7218 is 81/3212010.