GCF of 158/39, 141/325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 158/39, 141/325 i.e 1/975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/39, 141/325.
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 158/39,141/325?
Given fractions are 158/39,141/325
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 158/39,141/325, numerators are 158,141
Denominators are 39,325
The GCF of 158,141 is 1 .
LCM of 39,325 is 975.
The greatest common factor of 158/39,141/325 = [GCF of 158,141]/[LCM of 39,325]= 1/975
Therefore, the GCF of 158/39,141/325 is 1/975.
To find the highest common factor of 158,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 158 are 1, 2, 79, 158
The factors of 141 are 1, 3, 47, 141
The HCF of 158,141 is 1.
Lets's calculate GCF of 158,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 158,141 By Matching Biggest Common Factor Method
Now, list down the factors of 158
:1,2,79,158
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 158,141 . The biggest common factor number is the GCF number.
So the greatest common factor 158,141 is 1.
Lets's calculate LCM of 39,325
| 13 | 39, 325 |
| 3, 25 |
∴ So the LCM of the given numbers is 13 x 3 x 25 = 975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975
Therefore, the GCF of Fractions 158/39,141/325 is 1/975
Least Common Multiple of 39,325 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 39,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,325) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(39,325) x common factors =13 x 1 = 13
LCM(39,325) = ( 39 × 325 ) / 13
LCM(39,325) = 12675 / 13
LCM(39,325) = 975
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FAQs on GCF of Fractions of 158/39, 141/325
1. What is the HCF of 158,141?
The HCF of 158,141 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 158/39, 141/325?
Answer: GCF of Numerators as per given numbers 158/39, 141/325 is
GCF of Numerators i.e. for 158,141 is 1
LCM of denominators i.e. for 39,325 is 975.
Thus, GCF of Fractions is 1/975.Finally, GCF of Fractions for 158/39, 141/325 is 1/975.