GCF of 1609/724, 3430/2165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1609/724, 3430/2165 i.e 1/1567460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1609/724, 3430/2165.
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 1609/724,3430/2165?
Given fractions are 1609/724,3430/2165
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 1609/724,3430/2165, numerators are 1609,3430
Denominators are 724,2165
The GCF of 1609,3430 is 1 .
LCM of 724,2165 is 1567460.
The greatest common factor of 1609/724,3430/2165 = [GCF of 1609,3430]/[LCM of 724,2165]= 1/1567460
Therefore, the GCF of 1609/724,3430/2165 is 1/1567460.
To find the highest common factor of 1609,3430, we have to find the factors of both numbers and list the highest common factor.
The factors of 1609 are 1, 1609
The factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430
The HCF of 1609,3430 is 1.
Lets's calculate GCF of 1609,3430
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1609,3430 By Matching Biggest Common Factor Method
Now, list down the factors of 1609
:1,1609
Now, list down the factors of 3430
:1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430
Greatest Common Factor
We found the factors 1609,3430 . The biggest common factor number is the GCF number.
So the greatest common factor 1609,3430 is 1.
Lets's calculate LCM of 724,2165
Given numbers has no common factors except 1. So, there LCM is their product i.e 1567460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1567460
Therefore, the GCF of Fractions 1609/724,3430/2165 is 1/1567460
Least Common Multiple of 724,2165 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 724,2165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,2165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,2165) x common factors =1 x 1 = 1
LCM(724,2165) = ( 724 × 2165 ) / 1
LCM(724,2165) = 1567460 / 1
LCM(724,2165) = 1567460
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FAQs on GCF of Fractions of 1609/724, 3430/2165
1. What is the HCF of 1609,3430?
The HCF of 1609,3430 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 1609/724, 3430/2165?
Answer: GCF of Numerators as per given numbers 1609/724, 3430/2165 is
GCF of Numerators i.e. for 1609,3430 is 1
LCM of denominators i.e. for 724,2165 is 1567460.
Thus, GCF of Fractions is 1/1567460.Finally, GCF of Fractions for 1609/724, 3430/2165 is 1/1567460.