GCF of 2233/553, 9622/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2233/553, 9622/238 i.e 1/18802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2233/553, 9622/238.
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 2233/553,9622/238?
Given fractions are 2233/553,9622/238
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 2233/553,9622/238, numerators are 2233,9622
Denominators are 553,238
The GCF of 2233,9622 is 1 .
LCM of 553,238 is 18802.
The greatest common factor of 2233/553,9622/238 = [GCF of 2233,9622]/[LCM of 553,238]= 1/18802
Therefore, the GCF of 2233/553,9622/238 is 1/18802.
To find the highest common factor of 2233,9622, we have to find the factors of both numbers and list the highest common factor.
The factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233
The factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622
The HCF of 2233,9622 is 1.
Lets's calculate GCF of 2233,9622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2233,9622 By Matching Biggest Common Factor Method
Now, list down the factors of 2233
:1,7,11,29,77,203,319,2233
Now, list down the factors of 9622
:1,2,17,34,283,566,4811,9622
Greatest Common Factor
We found the factors 2233,9622 . The biggest common factor number is the GCF number.
So the greatest common factor 2233,9622 is 1.
Lets's calculate LCM of 553,238
| 7 | 553, 238 |
| 79, 34 |
∴ So the LCM of the given numbers is 7 x 79 x 34 = 18802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18802
Therefore, the GCF of Fractions 2233/553,9622/238 is 1/18802
Least Common Multiple of 553,238 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 553,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,238) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(553,238) x common factors =7 x 1 = 7
LCM(553,238) = ( 553 × 238 ) / 7
LCM(553,238) = 131614 / 7
LCM(553,238) = 18802
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FAQs on GCF of Fractions of 2233/553, 9622/238
1. What is the HCF of 2233,9622?
The HCF of 2233,9622 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 2233/553, 9622/238?
Answer: GCF of Numerators as per given numbers 2233/553, 9622/238 is
GCF of Numerators i.e. for 2233,9622 is 1
LCM of denominators i.e. for 553,238 is 18802.
Thus, GCF of Fractions is 1/18802.Finally, GCF of Fractions for 2233/553, 9622/238 is 1/18802.