GCF of 291/675, 732/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 291/675, 732/413 i.e 3/278775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/675, 732/413.
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 291/675,732/413?
Given fractions are 291/675,732/413
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 291/675,732/413, numerators are 291,732
Denominators are 675,413
The GCF of 291,732 is 3 .
LCM of 675,413 is 278775.
The greatest common factor of 291/675,732/413 = [GCF of 291,732]/[LCM of 675,413]= 3/278775
Therefore, the GCF of 291/675,732/413 is 3/278775.
To find the highest common factor of 291,732, we have to find the factors of both numbers and list the highest common factor.
The factors of 291 are 1, 3, 97, 291
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The HCF of 291,732 is 3.
Lets's calculate GCF of 291,732
| 3 | 291, 732 |
| 97, 244 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 291,732 By Matching Biggest Common Factor Method
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 291,732 . The biggest common factor number is the GCF number.
So the greatest common factor 291,732 is 3.
Lets's calculate LCM of 675,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 278775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/278775
Therefore, the GCF of Fractions 291/675,732/413 is 3/278775
Least Common Multiple of 675,413 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 675,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,413) x common factors =1 x 1 = 1
LCM(675,413) = ( 675 × 413 ) / 1
LCM(675,413) = 278775 / 1
LCM(675,413) = 278775
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FAQs on GCF of Fractions of 291/675, 732/413
1. What is the HCF of 291,732?
The HCF of 291,732 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 291/675, 732/413?
Answer: GCF of Numerators as per given numbers 291/675, 732/413 is
GCF of Numerators i.e. for 291,732 is 3
LCM of denominators i.e. for 675,413 is 278775.
Thus, GCF of Fractions is 3/278775.Finally, GCF of Fractions for 291/675, 732/413 is 3/278775.