GCF of 1325/309, 3141/5467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1325/309, 3141/5467 i.e 1/1689303 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1325/309, 3141/5467.
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 1325/309,3141/5467?
Given fractions are 1325/309,3141/5467
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 1325/309,3141/5467, numerators are 1325,3141
Denominators are 309,5467
The GCF of 1325,3141 is 1 .
LCM of 309,5467 is 1689303.
The greatest common factor of 1325/309,3141/5467 = [GCF of 1325,3141]/[LCM of 309,5467]= 1/1689303
Therefore, the GCF of 1325/309,3141/5467 is 1/1689303.
To find the highest common factor of 1325,3141, we have to find the factors of both numbers and list the highest common factor.
The factors of 1325 are 1, 5, 25, 53, 265, 1325
The factors of 3141 are 1, 3, 9, 349, 1047, 3141
The HCF of 1325,3141 is 1.
Lets's calculate GCF of 1325,3141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1325,3141 By Matching Biggest Common Factor Method
Now, list down the factors of 1325
:1,5,25,53,265,1325
Now, list down the factors of 3141
:1,3,9,349,1047,3141
Greatest Common Factor
We found the factors 1325,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 1325,3141 is 1.
Lets's calculate LCM of 309,5467
Given numbers has no common factors except 1. So, there LCM is their product i.e 1689303
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1689303
Therefore, the GCF of Fractions 1325/309,3141/5467 is 1/1689303
Least Common Multiple of 309,5467 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 309,5467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,5467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,5467) x common factors =1 x 1 = 1
LCM(309,5467) = ( 309 × 5467 ) / 1
LCM(309,5467) = 1689303 / 1
LCM(309,5467) = 1689303
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FAQs on GCF of Fractions of 1325/309, 3141/5467
1. What is the HCF of 1325,3141?
The HCF of 1325,3141 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 1325/309, 3141/5467?
Answer: GCF of Numerators as per given numbers 1325/309, 3141/5467 is
GCF of Numerators i.e. for 1325,3141 is 1
LCM of denominators i.e. for 309,5467 is 1689303.
Thus, GCF of Fractions is 1/1689303.Finally, GCF of Fractions for 1325/309, 3141/5467 is 1/1689303.