GCF of 291/179, 7592/5532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 291/179, 7592/5532 i.e 1/990228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/179, 7592/5532.
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 291/179,7592/5532?
Given fractions are 291/179,7592/5532
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 291/179,7592/5532, numerators are 291,7592
Denominators are 179,5532
The GCF of 291,7592 is 1 .
LCM of 179,5532 is 990228.
The greatest common factor of 291/179,7592/5532 = [GCF of 291,7592]/[LCM of 179,5532]= 1/990228
Therefore, the GCF of 291/179,7592/5532 is 1/990228.
To find the highest common factor of 291,7592, 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 7592 are 1, 2, 4, 8, 13, 26, 52, 73, 104, 146, 292, 584, 949, 1898, 3796, 7592
The HCF of 291,7592 is 1.
Lets's calculate GCF of 291,7592
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 291,7592 By Matching Biggest Common Factor Method
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 7592
:1,2,4,8,13,26,52,73,104,146,292,584,949,1898,3796,7592
Greatest Common Factor
We found the factors 291,7592 . The biggest common factor number is the GCF number.
So the greatest common factor 291,7592 is 1.
Lets's calculate LCM of 179,5532
Given numbers has no common factors except 1. So, there LCM is their product i.e 990228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990228
Therefore, the GCF of Fractions 291/179,7592/5532 is 1/990228
Least Common Multiple of 179,5532 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 179,5532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,5532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,5532) x common factors =1 x 1 = 1
LCM(179,5532) = ( 179 × 5532 ) / 1
LCM(179,5532) = 990228 / 1
LCM(179,5532) = 990228
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 291/179, 7592/5532
1. What is the HCF of 291,7592?
The HCF of 291,7592 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 291/179, 7592/5532?
Answer: GCF of Numerators as per given numbers 291/179, 7592/5532 is
GCF of Numerators i.e. for 291,7592 is 1
LCM of denominators i.e. for 179,5532 is 990228.
Thus, GCF of Fractions is 1/990228.Finally, GCF of Fractions for 291/179, 7592/5532 is 1/990228.