GCF of 3413/284, 9612/9697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3413/284, 9612/9697 i.e 1/2753948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3413/284, 9612/9697.
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 3413/284,9612/9697?
Given fractions are 3413/284,9612/9697
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 3413/284,9612/9697, numerators are 3413,9612
Denominators are 284,9697
The GCF of 3413,9612 is 1 .
LCM of 284,9697 is 2753948.
The greatest common factor of 3413/284,9612/9697 = [GCF of 3413,9612]/[LCM of 284,9697]= 1/2753948
Therefore, the GCF of 3413/284,9612/9697 is 1/2753948.
To find the highest common factor of 3413,9612, we have to find the factors of both numbers and list the highest common factor.
The factors of 3413 are 1, 3413
The factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612
The HCF of 3413,9612 is 1.
Lets's calculate GCF of 3413,9612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3413,9612 By Matching Biggest Common Factor Method
Now, list down the factors of 3413
:1,3413
Now, list down the factors of 9612
:1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612
Greatest Common Factor
We found the factors 3413,9612 . The biggest common factor number is the GCF number.
So the greatest common factor 3413,9612 is 1.
Lets's calculate LCM of 284,9697
Given numbers has no common factors except 1. So, there LCM is their product i.e 2753948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2753948
Therefore, the GCF of Fractions 3413/284,9612/9697 is 1/2753948
Least Common Multiple of 284,9697 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 284,9697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,9697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,9697) x common factors =1 x 1 = 1
LCM(284,9697) = ( 284 × 9697 ) / 1
LCM(284,9697) = 2753948 / 1
LCM(284,9697) = 2753948
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FAQs on GCF of Fractions of 3413/284, 9612/9697
1. What is the HCF of 3413,9612?
The HCF of 3413,9612 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 3413/284, 9612/9697?
Answer: GCF of Numerators as per given numbers 3413/284, 9612/9697 is
GCF of Numerators i.e. for 3413,9612 is 1
LCM of denominators i.e. for 284,9697 is 2753948.
Thus, GCF of Fractions is 1/2753948.Finally, GCF of Fractions for 3413/284, 9612/9697 is 1/2753948.