GCF of 325/458, 131/967, 946/979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 325/458, 131/967, 946/979 i.e 1/433585394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/458, 131/967, 946/979.
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 325/458,131/967,946/979?
Given fractions are 325/458,131/967,946/979
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 325/458,131/967,946/979, numerators are 325,131,946
Denominators are 458,967,979
The GCF of 325,131,946 is 1 .
LCM of 458,967,979 is 433585394.
The greatest common factor of 325/458,131/967,946/979 = [GCF of 325,131,946]/[LCM of 458,967,979]= 1/433585394
Therefore, the GCF of 325/458,131/967,946/979 is 1/433585394.
To find the highest common factor of 325,131,946, we have to find the factors of both numbers and list the highest common factor.
The factors of 325 are 1, 5, 13, 25, 65, 325
The factors of 131 are 1, 131
The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946
The HCF of 325,131,946 is 1.
Lets's calculate GCF of 325,131,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 325,131,946 By Matching Biggest Common Factor Method
Now, list down the factors of 325
:1,5,13,25,65,325
Now, list down the factors of 131
:1,131
Now, list down the factors of 946
:1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 325,131,946 . The biggest common factor number is the GCF number.
So the greatest common factor 325,131,946 is 1.
Lets's calculate LCM of 458,967,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 433585394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433585394
Therefore, the GCF of Fractions 325/458,131/967,946/979 is 1/433585394
Least Common Multiple of 458,967,979 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 458,967,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,967,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,967,979) x common factors =1 x 1 = 1
LCM(458,967,979) = ( 458 × 967 × 979 ) / 1
LCM(458,967,979) = 433585394 / 1
LCM(458,967,979) = 433585394
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FAQs on GCF of Fractions of 325/458, 131/967, 946/979
1. What is the HCF of 325,131,946?
The HCF of 325,131,946 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 325/458, 131/967, 946/979?
Answer: GCF of Numerators as per given numbers 325/458, 131/967, 946/979 is
GCF of Numerators i.e. for 325,131,946 is 1
LCM of denominators i.e. for 458,967,979 is 433585394.
Thus, GCF of Fractions is 1/433585394.Finally, GCF of Fractions for 325/458, 131/967, 946/979 is 1/433585394.