GCF of 3564/449, 8868/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3564/449, 8868/414 i.e 12/185886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3564/449, 8868/414.
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 3564/449,8868/414?
Given fractions are 3564/449,8868/414
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 3564/449,8868/414, numerators are 3564,8868
Denominators are 449,414
The GCF of 3564,8868 is 12 .
LCM of 449,414 is 185886.
The greatest common factor of 3564/449,8868/414 = [GCF of 3564,8868]/[LCM of 449,414]= 12/185886
Therefore, the GCF of 3564/449,8868/414 is 12/185886.
To find the highest common factor of 3564,8868, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8868 are 1, 2, 3, 4, 6, 12, 739, 1478, 2217, 2956, 4434, 8868
The HCF of 3564,8868 is 12.
Lets's calculate GCF of 3564,8868
| 2 | 3564, 8868 |
| 2 | 1782, 4434 |
| 3 | 891, 2217 |
| 297, 739 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3564,8868 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8868
:1,2,3,4,6,12,739,1478,2217,2956,4434,8868
Greatest Common Factor
We found the factors 3564,8868 . The biggest common factor number is the GCF number.
So the greatest common factor 3564,8868 is 12.
Lets's calculate LCM of 449,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 185886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/185886
Therefore, the GCF of Fractions 3564/449,8868/414 is 12/185886
Least Common Multiple of 449,414 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 449,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,414) x common factors =1 x 1 = 1
LCM(449,414) = ( 449 × 414 ) / 1
LCM(449,414) = 185886 / 1
LCM(449,414) = 185886
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FAQs on GCF of Fractions of 3564/449, 8868/414
1. What is the HCF of 3564,8868?
The HCF of 3564,8868 is 12
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 3564/449, 8868/414?
Answer: GCF of Numerators as per given numbers 3564/449, 8868/414 is
GCF of Numerators i.e. for 3564,8868 is 12
LCM of denominators i.e. for 449,414 is 185886.
Thus, GCF of Fractions is 12/185886.Finally, GCF of Fractions for 3564/449, 8868/414 is 12/185886.