GCF of 205/562, 5517/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 205/562, 5517/644 i.e 1/180964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 205/562, 5517/644.
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 205/562,5517/644?
Given fractions are 205/562,5517/644
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 205/562,5517/644, numerators are 205,5517
Denominators are 562,644
The GCF of 205,5517 is 1 .
LCM of 562,644 is 180964.
The greatest common factor of 205/562,5517/644 = [GCF of 205,5517]/[LCM of 562,644]= 1/180964
Therefore, the GCF of 205/562,5517/644 is 1/180964.
To find the highest common factor of 205,5517, we have to find the factors of both numbers and list the highest common factor.
The factors of 205 are 1, 5, 41, 205
The factors of 5517 are 1, 3, 9, 613, 1839, 5517
The HCF of 205,5517 is 1.
Lets's calculate GCF of 205,5517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 205,5517 By Matching Biggest Common Factor Method
Now, list down the factors of 205
:1,5,41,205
Now, list down the factors of 5517
:1,3,9,613,1839,5517
Greatest Common Factor
We found the factors 205,5517 . The biggest common factor number is the GCF number.
So the greatest common factor 205,5517 is 1.
Lets's calculate LCM of 562,644
| 2 | 562, 644 |
| 281, 322 |
∴ So the LCM of the given numbers is 2 x 281 x 322 = 180964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180964
Therefore, the GCF of Fractions 205/562,5517/644 is 1/180964
Least Common Multiple of 562,644 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 562,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,644) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,644) x common factors =2 x 1 = 2
LCM(562,644) = ( 562 × 644 ) / 2
LCM(562,644) = 361928 / 2
LCM(562,644) = 180964
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FAQs on GCF of Fractions of 205/562, 5517/644
1. What is the HCF of 205,5517?
The HCF of 205,5517 is 1
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 205/562, 5517/644?
Answer: GCF of Numerators as per given numbers 205/562, 5517/644 is
GCF of Numerators i.e. for 205,5517 is 1
LCM of denominators i.e. for 562,644 is 180964.
Thus, GCF of Fractions is 1/180964.Finally, GCF of Fractions for 205/562, 5517/644 is 1/180964.