GCF of 1463/561, 2337/1683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1463/561, 2337/1683 i.e 19/1683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1463/561, 2337/1683.
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 1463/561,2337/1683?
Given fractions are 1463/561,2337/1683
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 1463/561,2337/1683, numerators are 1463,2337
Denominators are 561,1683
The GCF of 1463,2337 is 19 .
LCM of 561,1683 is 1683.
The greatest common factor of 1463/561,2337/1683 = [GCF of 1463,2337]/[LCM of 561,1683]= 19/1683
Therefore, the GCF of 1463/561,2337/1683 is 19/1683.
To find the highest common factor of 1463,2337, we have to find the factors of both numbers and list the highest common factor.
The factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463
The factors of 2337 are 1, 3, 19, 41, 57, 123, 779, 2337
The HCF of 1463,2337 is 19.
Lets's calculate GCF of 1463,2337
| 19 | 1463, 2337 |
| 77, 123 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 1463,2337 By Matching Biggest Common Factor Method
Now, list down the factors of 1463
:1,7,11,19,77,133,209,1463
Now, list down the factors of 2337
:1,3,19,41,57,123,779,2337
Greatest Common Factor
We found the factors 1463,2337 . The biggest common factor number is the GCF number.
So the greatest common factor 1463,2337 is 19.
Lets's calculate LCM of 561,1683
| 3 | 561, 1683 |
| 11 | 187, 561 |
| 17 | 17, 51 |
| 1, 3 |
∴ So the LCM of the given numbers is 3 x 11 x 17 x 1 x 3 = 1683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1683
Therefore, the GCF of Fractions 1463/561,2337/1683 is 19/1683
Least Common Multiple of 561,1683 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 561,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,1683) = 561
common factors(in case of two or more numbers have common factors) = 1
GCF(561,1683) x common factors =561 x 1 = 561
LCM(561,1683) = ( 561 × 1683 ) / 561
LCM(561,1683) = 944163 / 561
LCM(561,1683) = 1683
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FAQs on GCF of Fractions of 1463/561, 2337/1683
1. What is the HCF of 1463,2337?
The HCF of 1463,2337 is 19
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 1463/561, 2337/1683?
Answer: GCF of Numerators as per given numbers 1463/561, 2337/1683 is
GCF of Numerators i.e. for 1463,2337 is 19
LCM of denominators i.e. for 561,1683 is 1683.
Thus, GCF of Fractions is 19/1683.Finally, GCF of Fractions for 1463/561, 2337/1683 is 19/1683.