GCF of 9618/284, 9407/2257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9618/284, 9407/2257 i.e 1/640988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9618/284, 9407/2257.
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 9618/284,9407/2257?
Given fractions are 9618/284,9407/2257
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 9618/284,9407/2257, numerators are 9618,9407
Denominators are 284,2257
The GCF of 9618,9407 is 1 .
LCM of 284,2257 is 640988.
The greatest common factor of 9618/284,9407/2257 = [GCF of 9618,9407]/[LCM of 284,2257]= 1/640988
Therefore, the GCF of 9618/284,9407/2257 is 1/640988.
To find the highest common factor of 9618,9407, we have to find the factors of both numbers and list the highest common factor.
The factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618
The factors of 9407 are 1, 23, 409, 9407
The HCF of 9618,9407 is 1.
Lets's calculate GCF of 9618,9407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9618,9407 By Matching Biggest Common Factor Method
Now, list down the factors of 9618
:1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
Now, list down the factors of 9407
:1,23,409,9407
Greatest Common Factor
We found the factors 9618,9407 . The biggest common factor number is the GCF number.
So the greatest common factor 9618,9407 is 1.
Lets's calculate LCM of 284,2257
Given numbers has no common factors except 1. So, there LCM is their product i.e 640988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/640988
Therefore, the GCF of Fractions 9618/284,9407/2257 is 1/640988
Least Common Multiple of 284,2257 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 284,2257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,2257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,2257) x common factors =1 x 1 = 1
LCM(284,2257) = ( 284 × 2257 ) / 1
LCM(284,2257) = 640988 / 1
LCM(284,2257) = 640988
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FAQs on GCF of Fractions of 9618/284, 9407/2257
1. What is the HCF of 9618,9407?
The HCF of 9618,9407 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 9618/284, 9407/2257?
Answer: GCF of Numerators as per given numbers 9618/284, 9407/2257 is
GCF of Numerators i.e. for 9618,9407 is 1
LCM of denominators i.e. for 284,2257 is 640988.
Thus, GCF of Fractions is 1/640988.Finally, GCF of Fractions for 9618/284, 9407/2257 is 1/640988.