GCF of 9085/251, 7240/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9085/251, 7240/732 i.e 5/183732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9085/251, 7240/732.
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 9085/251,7240/732?
Given fractions are 9085/251,7240/732
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 9085/251,7240/732, numerators are 9085,7240
Denominators are 251,732
The GCF of 9085,7240 is 5 .
LCM of 251,732 is 183732.
The greatest common factor of 9085/251,7240/732 = [GCF of 9085,7240]/[LCM of 251,732]= 5/183732
Therefore, the GCF of 9085/251,7240/732 is 5/183732.
To find the highest common factor of 9085,7240, we have to find the factors of both numbers and list the highest common factor.
The factors of 9085 are 1, 5, 23, 79, 115, 395, 1817, 9085
The factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240
The HCF of 9085,7240 is 5.
Lets's calculate GCF of 9085,7240
| 5 | 9085, 7240 |
| 1817, 1448 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9085,7240 By Matching Biggest Common Factor Method
Now, list down the factors of 9085
:1,5,23,79,115,395,1817,9085
Now, list down the factors of 7240
:1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240
Greatest Common Factor
We found the factors 9085,7240 . The biggest common factor number is the GCF number.
So the greatest common factor 9085,7240 is 5.
Lets's calculate LCM of 251,732
Given numbers has no common factors except 1. So, there LCM is their product i.e 183732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/183732
Therefore, the GCF of Fractions 9085/251,7240/732 is 5/183732
Least Common Multiple of 251,732 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 251,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,732) x common factors =1 x 1 = 1
LCM(251,732) = ( 251 × 732 ) / 1
LCM(251,732) = 183732 / 1
LCM(251,732) = 183732
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FAQs on GCF of Fractions of 9085/251, 7240/732
1. What is the HCF of 9085,7240?
The HCF of 9085,7240 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 9085/251, 7240/732?
Answer: GCF of Numerators as per given numbers 9085/251, 7240/732 is
GCF of Numerators i.e. for 9085,7240 is 5
LCM of denominators i.e. for 251,732 is 183732.
Thus, GCF of Fractions is 5/183732.Finally, GCF of Fractions for 9085/251, 7240/732 is 5/183732.