GCF of 9413/174, 2451/8299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9413/174, 2451/8299 i.e 1/1444026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9413/174, 2451/8299.
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 9413/174,2451/8299?
Given fractions are 9413/174,2451/8299
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 9413/174,2451/8299, numerators are 9413,2451
Denominators are 174,8299
The GCF of 9413,2451 is 1 .
LCM of 174,8299 is 1444026.
The greatest common factor of 9413/174,2451/8299 = [GCF of 9413,2451]/[LCM of 174,8299]= 1/1444026
Therefore, the GCF of 9413/174,2451/8299 is 1/1444026.
To find the highest common factor of 9413,2451, we have to find the factors of both numbers and list the highest common factor.
The factors of 9413 are 1, 9413
The factors of 2451 are 1, 3, 19, 43, 57, 129, 817, 2451
The HCF of 9413,2451 is 1.
Lets's calculate GCF of 9413,2451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9413,2451 By Matching Biggest Common Factor Method
Now, list down the factors of 9413
:1,9413
Now, list down the factors of 2451
:1,3,19,43,57,129,817,2451
Greatest Common Factor
We found the factors 9413,2451 . The biggest common factor number is the GCF number.
So the greatest common factor 9413,2451 is 1.
Lets's calculate LCM of 174,8299
Given numbers has no common factors except 1. So, there LCM is their product i.e 1444026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1444026
Therefore, the GCF of Fractions 9413/174,2451/8299 is 1/1444026
Least Common Multiple of 174,8299 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 174,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,8299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,8299) x common factors =1 x 1 = 1
LCM(174,8299) = ( 174 × 8299 ) / 1
LCM(174,8299) = 1444026 / 1
LCM(174,8299) = 1444026
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FAQs on GCF of Fractions of 9413/174, 2451/8299
1. What is the HCF of 9413,2451?
The HCF of 9413,2451 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 9413/174, 2451/8299?
Answer: GCF of Numerators as per given numbers 9413/174, 2451/8299 is
GCF of Numerators i.e. for 9413,2451 is 1
LCM of denominators i.e. for 174,8299 is 1444026.
Thus, GCF of Fractions is 1/1444026.Finally, GCF of Fractions for 9413/174, 2451/8299 is 1/1444026.