GCF of 1704/594, 2254/4229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1704/594, 2254/4229 i.e 2/2512026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1704/594, 2254/4229.
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 1704/594,2254/4229?
Given fractions are 1704/594,2254/4229
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 1704/594,2254/4229, numerators are 1704,2254
Denominators are 594,4229
The GCF of 1704,2254 is 2 .
LCM of 594,4229 is 2512026.
The greatest common factor of 1704/594,2254/4229 = [GCF of 1704,2254]/[LCM of 594,4229]= 2/2512026
Therefore, the GCF of 1704/594,2254/4229 is 2/2512026.
To find the highest common factor of 1704,2254, 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 2254 are 1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254
The HCF of 1704,2254 is 2.
Lets's calculate GCF of 1704,2254
| 2 | 1704, 2254 |
| 852, 1127 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1704,2254 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 2254
:1,2,7,14,23,46,49,98,161,322,1127,2254
Greatest Common Factor
We found the factors 1704,2254 . The biggest common factor number is the GCF number.
So the greatest common factor 1704,2254 is 2.
Lets's calculate LCM of 594,4229
Given numbers has no common factors except 1. So, there LCM is their product i.e 2512026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2512026
Therefore, the GCF of Fractions 1704/594,2254/4229 is 2/2512026
Least Common Multiple of 594,4229 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 594,4229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,4229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(594,4229) x common factors =1 x 1 = 1
LCM(594,4229) = ( 594 × 4229 ) / 1
LCM(594,4229) = 2512026 / 1
LCM(594,4229) = 2512026
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FAQs on GCF of Fractions of 1704/594, 2254/4229
1. What is the HCF of 1704,2254?
The HCF of 1704,2254 is 2
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 1704/594, 2254/4229?
Answer: GCF of Numerators as per given numbers 1704/594, 2254/4229 is
GCF of Numerators i.e. for 1704,2254 is 2
LCM of denominators i.e. for 594,4229 is 2512026.
Thus, GCF of Fractions is 2/2512026.Finally, GCF of Fractions for 1704/594, 2254/4229 is 2/2512026.