GCF of 5511/234, 9555/7290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5511/234, 9555/7290 i.e 3/94770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5511/234, 9555/7290.
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 5511/234,9555/7290?
Given fractions are 5511/234,9555/7290
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 5511/234,9555/7290, numerators are 5511,9555
Denominators are 234,7290
The GCF of 5511,9555 is 3 .
LCM of 234,7290 is 94770.
The greatest common factor of 5511/234,9555/7290 = [GCF of 5511,9555]/[LCM of 234,7290]= 3/94770
Therefore, the GCF of 5511/234,9555/7290 is 3/94770.
To find the highest common factor of 5511,9555, we have to find the factors of both numbers and list the highest common factor.
The factors of 5511 are 1, 3, 11, 33, 167, 501, 1837, 5511
The factors of 9555 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555
The HCF of 5511,9555 is 3.
Lets's calculate GCF of 5511,9555
| 3 | 5511, 9555 |
| 1837, 3185 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5511,9555 By Matching Biggest Common Factor Method
Now, list down the factors of 5511
:1,3,11,33,167,501,1837,5511
Now, list down the factors of 9555
:1,3,5,7,13,15,21,35,39,49,65,91,105,147,195,245,273,455,637,735,1365,1911,3185,9555
Greatest Common Factor
We found the factors 5511,9555 . The biggest common factor number is the GCF number.
So the greatest common factor 5511,9555 is 3.
Lets's calculate LCM of 234,7290
| 2 | 234, 7290 |
| 3 | 117, 3645 |
| 3 | 39, 1215 |
| 13, 405 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 405 = 94770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/94770
Therefore, the GCF of Fractions 5511/234,9555/7290 is 3/94770
Least Common Multiple of 234,7290 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 234,7290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,7290) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(234,7290) x common factors =18 x 1 = 18
LCM(234,7290) = ( 234 × 7290 ) / 18
LCM(234,7290) = 1705860 / 18
LCM(234,7290) = 94770
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FAQs on GCF of Fractions of 5511/234, 9555/7290
1. What is the HCF of 5511,9555?
The HCF of 5511,9555 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 5511/234, 9555/7290?
Answer: GCF of Numerators as per given numbers 5511/234, 9555/7290 is
GCF of Numerators i.e. for 5511,9555 is 3
LCM of denominators i.e. for 234,7290 is 94770.
Thus, GCF of Fractions is 3/94770.Finally, GCF of Fractions for 5511/234, 9555/7290 is 3/94770.