GCF of 5270/182, 9261/845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5270/182, 9261/845 i.e 1/11830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5270/182, 9261/845.
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 5270/182,9261/845?
Given fractions are 5270/182,9261/845
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 5270/182,9261/845, numerators are 5270,9261
Denominators are 182,845
The GCF of 5270,9261 is 1 .
LCM of 182,845 is 11830.
The greatest common factor of 5270/182,9261/845 = [GCF of 5270,9261]/[LCM of 182,845]= 1/11830
Therefore, the GCF of 5270/182,9261/845 is 1/11830.
To find the highest common factor of 5270,9261, we have to find the factors of both numbers and list the highest common factor.
The factors of 5270 are 1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270
The factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261
The HCF of 5270,9261 is 1.
Lets's calculate GCF of 5270,9261
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5270,9261 By Matching Biggest Common Factor Method
Now, list down the factors of 5270
:1,2,5,10,17,31,34,62,85,155,170,310,527,1054,2635,5270
Now, list down the factors of 9261
:1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261
Greatest Common Factor
We found the factors 5270,9261 . The biggest common factor number is the GCF number.
So the greatest common factor 5270,9261 is 1.
Lets's calculate LCM of 182,845
| 13 | 182, 845 |
| 14, 65 |
∴ So the LCM of the given numbers is 13 x 14 x 65 = 11830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11830
Therefore, the GCF of Fractions 5270/182,9261/845 is 1/11830
Least Common Multiple of 182,845 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 182,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,845) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(182,845) x common factors =13 x 1 = 13
LCM(182,845) = ( 182 × 845 ) / 13
LCM(182,845) = 153790 / 13
LCM(182,845) = 11830
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FAQs on GCF of Fractions of 5270/182, 9261/845
1. What is the HCF of 5270,9261?
The HCF of 5270,9261 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 5270/182, 9261/845?
Answer: GCF of Numerators as per given numbers 5270/182, 9261/845 is
GCF of Numerators i.e. for 5270,9261 is 1
LCM of denominators i.e. for 182,845 is 11830.
Thus, GCF of Fractions is 1/11830.Finally, GCF of Fractions for 5270/182, 9261/845 is 1/11830.