GCF of 291/76, 598/3144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 291/76, 598/3144 i.e 1/59736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/76, 598/3144.
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 291/76,598/3144?
Given fractions are 291/76,598/3144
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 291/76,598/3144, numerators are 291,598
Denominators are 76,3144
The GCF of 291,598 is 1 .
LCM of 76,3144 is 59736.
The greatest common factor of 291/76,598/3144 = [GCF of 291,598]/[LCM of 76,3144]= 1/59736
Therefore, the GCF of 291/76,598/3144 is 1/59736.
To find the highest common factor of 291,598, 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 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 291,598 is 1.
Lets's calculate GCF of 291,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 291,598 By Matching Biggest Common Factor Method
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 291,598 . The biggest common factor number is the GCF number.
So the greatest common factor 291,598 is 1.
Lets's calculate LCM of 76,3144
| 2 | 76, 3144 |
| 2 | 38, 1572 |
| 19, 786 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 786 = 59736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59736
Therefore, the GCF of Fractions 291/76,598/3144 is 1/59736
Least Common Multiple of 76,3144 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 76,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,3144) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,3144) x common factors =4 x 1 = 4
LCM(76,3144) = ( 76 × 3144 ) / 4
LCM(76,3144) = 238944 / 4
LCM(76,3144) = 59736
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FAQs on GCF of Fractions of 291/76, 598/3144
1. What is the HCF of 291,598?
The HCF of 291,598 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 291/76, 598/3144?
Answer: GCF of Numerators as per given numbers 291/76, 598/3144 is
GCF of Numerators i.e. for 291,598 is 1
LCM of denominators i.e. for 76,3144 is 59736.
Thus, GCF of Fractions is 1/59736.Finally, GCF of Fractions for 291/76, 598/3144 is 1/59736.