GCF of 732/91, 298/589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 732/91, 298/589 i.e 2/53599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 732/91, 298/589.
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 732/91,298/589?
Given fractions are 732/91,298/589
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 732/91,298/589, numerators are 732,298
Denominators are 91,589
The GCF of 732,298 is 2 .
LCM of 91,589 is 53599.
The greatest common factor of 732/91,298/589 = [GCF of 732,298]/[LCM of 91,589]= 2/53599
Therefore, the GCF of 732/91,298/589 is 2/53599.
To find the highest common factor of 732,298, we have to find the factors of both numbers and list the highest common factor.
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The factors of 298 are 1, 2, 149, 298
The HCF of 732,298 is 2.
Lets's calculate GCF of 732,298
| 2 | 732, 298 |
| 366, 149 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 732,298 By Matching Biggest Common Factor Method
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 732,298 . The biggest common factor number is the GCF number.
So the greatest common factor 732,298 is 2.
Lets's calculate LCM of 91,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 53599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53599
Therefore, the GCF of Fractions 732/91,298/589 is 2/53599
Least Common Multiple of 91,589 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 91,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,589) x common factors =1 x 1 = 1
LCM(91,589) = ( 91 × 589 ) / 1
LCM(91,589) = 53599 / 1
LCM(91,589) = 53599
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FAQs on GCF of Fractions of 732/91, 298/589
1. What is the HCF of 732,298?
The HCF of 732,298 is 2
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 732/91, 298/589?
Answer: GCF of Numerators as per given numbers 732/91, 298/589 is
GCF of Numerators i.e. for 732,298 is 2
LCM of denominators i.e. for 91,589 is 53599.
Thus, GCF of Fractions is 2/53599.Finally, GCF of Fractions for 732/91, 298/589 is 2/53599.