GCF of 181/60, 362/5172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 181/60, 362/5172 i.e 181/25860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 181/60, 362/5172.
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 181/60,362/5172?
Given fractions are 181/60,362/5172
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 181/60,362/5172, numerators are 181,362
Denominators are 60,5172
The GCF of 181,362 is 181 .
LCM of 60,5172 is 25860.
The greatest common factor of 181/60,362/5172 = [GCF of 181,362]/[LCM of 60,5172]= 181/25860
Therefore, the GCF of 181/60,362/5172 is 181/25860.
To find the highest common factor of 181,362, we have to find the factors of both numbers and list the highest common factor.
The factors of 181 are 1, 181
The factors of 362 are 1, 2, 181, 362
The HCF of 181,362 is 181.
Lets's calculate GCF of 181,362
| 181 | 181, 362 |
| 1, 2 |
∴ So the GCF of the given numbers is 181 = 181
Greatest Common Factor of 181,362 By Matching Biggest Common Factor Method
Now, list down the factors of 181
:1,181
Now, list down the factors of 362
:1,2,181,362
Greatest Common Factor
We found the factors 181,362 . The biggest common factor number is the GCF number.
So the greatest common factor 181,362 is 181.
Lets's calculate LCM of 60,5172
| 2 | 60, 5172 |
| 2 | 30, 2586 |
| 3 | 15, 1293 |
| 5, 431 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 431 = 25860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 181/25860
Therefore, the GCF of Fractions 181/60,362/5172 is 181/25860
Least Common Multiple of 60,5172 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 60,5172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,5172) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(60,5172) x common factors =12 x 1 = 12
LCM(60,5172) = ( 60 × 5172 ) / 12
LCM(60,5172) = 310320 / 12
LCM(60,5172) = 25860
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FAQs on GCF of Fractions of 181/60, 362/5172
1. What is the HCF of 181,362?
The HCF of 181,362 is 181
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 181/60, 362/5172?
Answer: GCF of Numerators as per given numbers 181/60, 362/5172 is
GCF of Numerators i.e. for 181,362 is 181
LCM of denominators i.e. for 60,5172 is 25860.
Thus, GCF of Fractions is 181/25860.Finally, GCF of Fractions for 181/60, 362/5172 is 181/25860.