GCF of 9634/337, 1681/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9634/337, 1681/448 i.e 1/150976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9634/337, 1681/448.
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 9634/337,1681/448?
Given fractions are 9634/337,1681/448
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 9634/337,1681/448, numerators are 9634,1681
Denominators are 337,448
The GCF of 9634,1681 is 1 .
LCM of 337,448 is 150976.
The greatest common factor of 9634/337,1681/448 = [GCF of 9634,1681]/[LCM of 337,448]= 1/150976
Therefore, the GCF of 9634/337,1681/448 is 1/150976.
To find the highest common factor of 9634,1681, we have to find the factors of both numbers and list the highest common factor.
The factors of 9634 are 1, 2, 4817, 9634
The factors of 1681 are 1, 41, 1681
The HCF of 9634,1681 is 1.
Lets's calculate GCF of 9634,1681
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9634,1681 By Matching Biggest Common Factor Method
Now, list down the factors of 9634
:1,2,4817,9634
Now, list down the factors of 1681
:1,41,1681
Greatest Common Factor
We found the factors 9634,1681 . The biggest common factor number is the GCF number.
So the greatest common factor 9634,1681 is 1.
Lets's calculate LCM of 337,448
Given numbers has no common factors except 1. So, there LCM is their product i.e 150976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150976
Therefore, the GCF of Fractions 9634/337,1681/448 is 1/150976
Least Common Multiple of 337,448 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 337,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,448) x common factors =1 x 1 = 1
LCM(337,448) = ( 337 × 448 ) / 1
LCM(337,448) = 150976 / 1
LCM(337,448) = 150976
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FAQs on GCF of Fractions of 9634/337, 1681/448
1. What is the HCF of 9634,1681?
The HCF of 9634,1681 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 9634/337, 1681/448?
Answer: GCF of Numerators as per given numbers 9634/337, 1681/448 is
GCF of Numerators i.e. for 9634,1681 is 1
LCM of denominators i.e. for 337,448 is 150976.
Thus, GCF of Fractions is 1/150976.Finally, GCF of Fractions for 9634/337, 1681/448 is 1/150976.