GCF of 9305/182, 7905/1953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9305/182, 7905/1953 i.e 5/50778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9305/182, 7905/1953.
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 9305/182,7905/1953?
Given fractions are 9305/182,7905/1953
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 9305/182,7905/1953, numerators are 9305,7905
Denominators are 182,1953
The GCF of 9305,7905 is 5 .
LCM of 182,1953 is 50778.
The greatest common factor of 9305/182,7905/1953 = [GCF of 9305,7905]/[LCM of 182,1953]= 5/50778
Therefore, the GCF of 9305/182,7905/1953 is 5/50778.
To find the highest common factor of 9305,7905, we have to find the factors of both numbers and list the highest common factor.
The factors of 9305 are 1, 5, 1861, 9305
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The HCF of 9305,7905 is 5.
Lets's calculate GCF of 9305,7905
| 5 | 9305, 7905 |
| 1861, 1581 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9305,7905 By Matching Biggest Common Factor Method
Now, list down the factors of 9305
:1,5,1861,9305
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Greatest Common Factor
We found the factors 9305,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 9305,7905 is 5.
Lets's calculate LCM of 182,1953
| 7 | 182, 1953 |
| 26, 279 |
∴ So the LCM of the given numbers is 7 x 26 x 279 = 50778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/50778
Therefore, the GCF of Fractions 9305/182,7905/1953 is 5/50778
Least Common Multiple of 182,1953 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 182,1953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,1953) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(182,1953) x common factors =7 x 1 = 7
LCM(182,1953) = ( 182 × 1953 ) / 7
LCM(182,1953) = 355446 / 7
LCM(182,1953) = 50778
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FAQs on GCF of Fractions of 9305/182, 7905/1953
1. What is the HCF of 9305,7905?
The HCF of 9305,7905 is 5
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 9305/182, 7905/1953?
Answer: GCF of Numerators as per given numbers 9305/182, 7905/1953 is
GCF of Numerators i.e. for 9305,7905 is 5
LCM of denominators i.e. for 182,1953 is 50778.
Thus, GCF of Fractions is 5/50778.Finally, GCF of Fractions for 9305/182, 7905/1953 is 5/50778.