GCF of 5617/624, 6233/5205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5617/624, 6233/5205 i.e 1/1082640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5617/624, 6233/5205.
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 5617/624,6233/5205?
Given fractions are 5617/624,6233/5205
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 5617/624,6233/5205, numerators are 5617,6233
Denominators are 624,5205
The GCF of 5617,6233 is 1 .
LCM of 624,5205 is 1082640.
The greatest common factor of 5617/624,6233/5205 = [GCF of 5617,6233]/[LCM of 624,5205]= 1/1082640
Therefore, the GCF of 5617/624,6233/5205 is 1/1082640.
To find the highest common factor of 5617,6233, we have to find the factors of both numbers and list the highest common factor.
The factors of 5617 are 1, 41, 137, 5617
The factors of 6233 are 1, 23, 271, 6233
The HCF of 5617,6233 is 1.
Lets's calculate GCF of 5617,6233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5617,6233 By Matching Biggest Common Factor Method
Now, list down the factors of 5617
:1,41,137,5617
Now, list down the factors of 6233
:1,23,271,6233
Greatest Common Factor
We found the factors 5617,6233 . The biggest common factor number is the GCF number.
So the greatest common factor 5617,6233 is 1.
Lets's calculate LCM of 624,5205
| 3 | 624, 5205 |
| 208, 1735 |
∴ So the LCM of the given numbers is 3 x 208 x 1735 = 1082640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1082640
Therefore, the GCF of Fractions 5617/624,6233/5205 is 1/1082640
Least Common Multiple of 624,5205 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 624,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5205) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5205) x common factors =3 x 1 = 3
LCM(624,5205) = ( 624 × 5205 ) / 3
LCM(624,5205) = 3247920 / 3
LCM(624,5205) = 1082640
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FAQs on GCF of Fractions of 5617/624, 6233/5205
1. What is the HCF of 5617,6233?
The HCF of 5617,6233 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 5617/624, 6233/5205?
Answer: GCF of Numerators as per given numbers 5617/624, 6233/5205 is
GCF of Numerators i.e. for 5617,6233 is 1
LCM of denominators i.e. for 624,5205 is 1082640.
Thus, GCF of Fractions is 1/1082640.Finally, GCF of Fractions for 5617/624, 6233/5205 is 1/1082640.