GCF of 7439/185, 5132/9475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7439/185, 5132/9475 i.e 1/350575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7439/185, 5132/9475.
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 7439/185,5132/9475?
Given fractions are 7439/185,5132/9475
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 7439/185,5132/9475, numerators are 7439,5132
Denominators are 185,9475
The GCF of 7439,5132 is 1 .
LCM of 185,9475 is 350575.
The greatest common factor of 7439/185,5132/9475 = [GCF of 7439,5132]/[LCM of 185,9475]= 1/350575
Therefore, the GCF of 7439/185,5132/9475 is 1/350575.
To find the highest common factor of 7439,5132, we have to find the factors of both numbers and list the highest common factor.
The factors of 7439 are 1, 43, 173, 7439
The factors of 5132 are 1, 2, 4, 1283, 2566, 5132
The HCF of 7439,5132 is 1.
Lets's calculate GCF of 7439,5132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7439,5132 By Matching Biggest Common Factor Method
Now, list down the factors of 7439
:1,43,173,7439
Now, list down the factors of 5132
:1,2,4,1283,2566,5132
Greatest Common Factor
We found the factors 7439,5132 . The biggest common factor number is the GCF number.
So the greatest common factor 7439,5132 is 1.
Lets's calculate LCM of 185,9475
| 5 | 185, 9475 |
| 37, 1895 |
∴ So the LCM of the given numbers is 5 x 37 x 1895 = 350575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350575
Therefore, the GCF of Fractions 7439/185,5132/9475 is 1/350575
Least Common Multiple of 185,9475 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 185,9475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,9475) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,9475) x common factors =5 x 1 = 5
LCM(185,9475) = ( 185 × 9475 ) / 5
LCM(185,9475) = 1752875 / 5
LCM(185,9475) = 350575
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FAQs on GCF of Fractions of 7439/185, 5132/9475
1. What is the HCF of 7439,5132?
The HCF of 7439,5132 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 7439/185, 5132/9475?
Answer: GCF of Numerators as per given numbers 7439/185, 5132/9475 is
GCF of Numerators i.e. for 7439,5132 is 1
LCM of denominators i.e. for 185,9475 is 350575.
Thus, GCF of Fractions is 1/350575.Finally, GCF of Fractions for 7439/185, 5132/9475 is 1/350575.