GCF of 1704/563, 3663/2257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1704/563, 3663/2257 i.e 3/1270691 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1704/563, 3663/2257.
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 1704/563,3663/2257?
Given fractions are 1704/563,3663/2257
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 1704/563,3663/2257, numerators are 1704,3663
Denominators are 563,2257
The GCF of 1704,3663 is 3 .
LCM of 563,2257 is 1270691.
The greatest common factor of 1704/563,3663/2257 = [GCF of 1704,3663]/[LCM of 563,2257]= 3/1270691
Therefore, the GCF of 1704/563,3663/2257 is 3/1270691.
To find the highest common factor of 1704,3663, we have to find the factors of both numbers and list the highest common factor.
The factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704
The factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663
The HCF of 1704,3663 is 3.
Lets's calculate GCF of 1704,3663
| 3 | 1704, 3663 |
| 568, 1221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1704,3663 By Matching Biggest Common Factor Method
Now, list down the factors of 1704
:1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704
Now, list down the factors of 3663
:1,3,9,11,33,37,99,111,333,407,1221,3663
Greatest Common Factor
We found the factors 1704,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 1704,3663 is 3.
Lets's calculate LCM of 563,2257
Given numbers has no common factors except 1. So, there LCM is their product i.e 1270691
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1270691
Therefore, the GCF of Fractions 1704/563,3663/2257 is 3/1270691
Least Common Multiple of 563,2257 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 563,2257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,2257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,2257) x common factors =1 x 1 = 1
LCM(563,2257) = ( 563 × 2257 ) / 1
LCM(563,2257) = 1270691 / 1
LCM(563,2257) = 1270691
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FAQs on GCF of Fractions of 1704/563, 3663/2257
1. What is the HCF of 1704,3663?
The HCF of 1704,3663 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 1704/563, 3663/2257?
Answer: GCF of Numerators as per given numbers 1704/563, 3663/2257 is
GCF of Numerators i.e. for 1704,3663 is 3
LCM of denominators i.e. for 563,2257 is 1270691.
Thus, GCF of Fractions is 3/1270691.Finally, GCF of Fractions for 1704/563, 3663/2257 is 3/1270691.