GCF of 5517/563, 1383/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5517/563, 1383/649 i.e 3/365387 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5517/563, 1383/649.
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 5517/563,1383/649?
Given fractions are 5517/563,1383/649
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 5517/563,1383/649, numerators are 5517,1383
Denominators are 563,649
The GCF of 5517,1383 is 3 .
LCM of 563,649 is 365387.
The greatest common factor of 5517/563,1383/649 = [GCF of 5517,1383]/[LCM of 563,649]= 3/365387
Therefore, the GCF of 5517/563,1383/649 is 3/365387.
To find the highest common factor of 5517,1383, we have to find the factors of both numbers and list the highest common factor.
The factors of 5517 are 1, 3, 9, 613, 1839, 5517
The factors of 1383 are 1, 3, 461, 1383
The HCF of 5517,1383 is 3.
Lets's calculate GCF of 5517,1383
| 3 | 5517, 1383 |
| 1839, 461 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5517,1383 By Matching Biggest Common Factor Method
Now, list down the factors of 5517
:1,3,9,613,1839,5517
Now, list down the factors of 1383
:1,3,461,1383
Greatest Common Factor
We found the factors 5517,1383 . The biggest common factor number is the GCF number.
So the greatest common factor 5517,1383 is 3.
Lets's calculate LCM of 563,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 365387
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/365387
Therefore, the GCF of Fractions 5517/563,1383/649 is 3/365387
Least Common Multiple of 563,649 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 563,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,649) x common factors =1 x 1 = 1
LCM(563,649) = ( 563 × 649 ) / 1
LCM(563,649) = 365387 / 1
LCM(563,649) = 365387
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5517/563, 1383/649
1. What is the HCF of 5517,1383?
The HCF of 5517,1383 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 5517/563, 1383/649?
Answer: GCF of Numerators as per given numbers 5517/563, 1383/649 is
GCF of Numerators i.e. for 5517,1383 is 3
LCM of denominators i.e. for 563,649 is 365387.
Thus, GCF of Fractions is 3/365387.Finally, GCF of Fractions for 5517/563, 1383/649 is 3/365387.