GCF of 9610/421, 3249/8290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9610/421, 3249/8290 i.e 1/3490090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9610/421, 3249/8290.
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 9610/421,3249/8290?
Given fractions are 9610/421,3249/8290
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 9610/421,3249/8290, numerators are 9610,3249
Denominators are 421,8290
The GCF of 9610,3249 is 1 .
LCM of 421,8290 is 3490090.
The greatest common factor of 9610/421,3249/8290 = [GCF of 9610,3249]/[LCM of 421,8290]= 1/3490090
Therefore, the GCF of 9610/421,3249/8290 is 1/3490090.
To find the highest common factor of 9610,3249, we have to find the factors of both numbers and list the highest common factor.
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The factors of 3249 are 1, 3, 9, 19, 57, 171, 361, 1083, 3249
The HCF of 9610,3249 is 1.
Lets's calculate GCF of 9610,3249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9610,3249 By Matching Biggest Common Factor Method
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Now, list down the factors of 3249
:1,3,9,19,57,171,361,1083,3249
Greatest Common Factor
We found the factors 9610,3249 . The biggest common factor number is the GCF number.
So the greatest common factor 9610,3249 is 1.
Lets's calculate LCM of 421,8290
Given numbers has no common factors except 1. So, there LCM is their product i.e 3490090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3490090
Therefore, the GCF of Fractions 9610/421,3249/8290 is 1/3490090
Least Common Multiple of 421,8290 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 421,8290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,8290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,8290) x common factors =1 x 1 = 1
LCM(421,8290) = ( 421 × 8290 ) / 1
LCM(421,8290) = 3490090 / 1
LCM(421,8290) = 3490090
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FAQs on GCF of Fractions of 9610/421, 3249/8290
1. What is the HCF of 9610,3249?
The HCF of 9610,3249 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 9610/421, 3249/8290?
Answer: GCF of Numerators as per given numbers 9610/421, 3249/8290 is
GCF of Numerators i.e. for 9610,3249 is 1
LCM of denominators i.e. for 421,8290 is 3490090.
Thus, GCF of Fractions is 1/3490090.Finally, GCF of Fractions for 9610/421, 3249/8290 is 1/3490090.