GCF of 8452/230, 1609/9707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8452/230, 1609/9707 i.e 1/2232610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8452/230, 1609/9707.
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 8452/230,1609/9707?
Given fractions are 8452/230,1609/9707
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 8452/230,1609/9707, numerators are 8452,1609
Denominators are 230,9707
The GCF of 8452,1609 is 1 .
LCM of 230,9707 is 2232610.
The greatest common factor of 8452/230,1609/9707 = [GCF of 8452,1609]/[LCM of 230,9707]= 1/2232610
Therefore, the GCF of 8452/230,1609/9707 is 1/2232610.
To find the highest common factor of 8452,1609, we have to find the factors of both numbers and list the highest common factor.
The factors of 8452 are 1, 2, 4, 2113, 4226, 8452
The factors of 1609 are 1, 1609
The HCF of 8452,1609 is 1.
Lets's calculate GCF of 8452,1609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8452,1609 By Matching Biggest Common Factor Method
Now, list down the factors of 8452
:1,2,4,2113,4226,8452
Now, list down the factors of 1609
:1,1609
Greatest Common Factor
We found the factors 8452,1609 . The biggest common factor number is the GCF number.
So the greatest common factor 8452,1609 is 1.
Lets's calculate LCM of 230,9707
Given numbers has no common factors except 1. So, there LCM is their product i.e 2232610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2232610
Therefore, the GCF of Fractions 8452/230,1609/9707 is 1/2232610
Least Common Multiple of 230,9707 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 230,9707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,9707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,9707) x common factors =1 x 1 = 1
LCM(230,9707) = ( 230 × 9707 ) / 1
LCM(230,9707) = 2232610 / 1
LCM(230,9707) = 2232610
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FAQs on GCF of Fractions of 8452/230, 1609/9707
1. What is the HCF of 8452,1609?
The HCF of 8452,1609 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 8452/230, 1609/9707?
Answer: GCF of Numerators as per given numbers 8452/230, 1609/9707 is
GCF of Numerators i.e. for 8452,1609 is 1
LCM of denominators i.e. for 230,9707 is 2232610.
Thus, GCF of Fractions is 1/2232610.Finally, GCF of Fractions for 8452/230, 1609/9707 is 1/2232610.