GCF of 9481/686, 5505/897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9481/686, 5505/897 i.e 1/615342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9481/686, 5505/897.
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 9481/686,5505/897?
Given fractions are 9481/686,5505/897
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 9481/686,5505/897, numerators are 9481,5505
Denominators are 686,897
The GCF of 9481,5505 is 1 .
LCM of 686,897 is 615342.
The greatest common factor of 9481/686,5505/897 = [GCF of 9481,5505]/[LCM of 686,897]= 1/615342
Therefore, the GCF of 9481/686,5505/897 is 1/615342.
To find the highest common factor of 9481,5505, we have to find the factors of both numbers and list the highest common factor.
The factors of 9481 are 1, 19, 499, 9481
The factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505
The HCF of 9481,5505 is 1.
Lets's calculate GCF of 9481,5505
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9481,5505 By Matching Biggest Common Factor Method
Now, list down the factors of 9481
:1,19,499,9481
Now, list down the factors of 5505
:1,3,5,15,367,1101,1835,5505
Greatest Common Factor
We found the factors 9481,5505 . The biggest common factor number is the GCF number.
So the greatest common factor 9481,5505 is 1.
Lets's calculate LCM of 686,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 615342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/615342
Therefore, the GCF of Fractions 9481/686,5505/897 is 1/615342
Least Common Multiple of 686,897 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 686,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,897) x common factors =1 x 1 = 1
LCM(686,897) = ( 686 × 897 ) / 1
LCM(686,897) = 615342 / 1
LCM(686,897) = 615342
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FAQs on GCF of Fractions of 9481/686, 5505/897
1. What is the HCF of 9481,5505?
The HCF of 9481,5505 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 9481/686, 5505/897?
Answer: GCF of Numerators as per given numbers 9481/686, 5505/897 is
GCF of Numerators i.e. for 9481,5505 is 1
LCM of denominators i.e. for 686,897 is 615342.
Thus, GCF of Fractions is 1/615342.Finally, GCF of Fractions for 9481/686, 5505/897 is 1/615342.