GCF of 9910/613, 8514/9474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9910/613, 8514/9474 i.e 2/5807562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9910/613, 8514/9474.
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 9910/613,8514/9474?
Given fractions are 9910/613,8514/9474
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 9910/613,8514/9474, numerators are 9910,8514
Denominators are 613,9474
The GCF of 9910,8514 is 2 .
LCM of 613,9474 is 5807562.
The greatest common factor of 9910/613,8514/9474 = [GCF of 9910,8514]/[LCM of 613,9474]= 2/5807562
Therefore, the GCF of 9910/613,8514/9474 is 2/5807562.
To find the highest common factor of 9910,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 9910 are 1, 2, 5, 10, 991, 1982, 4955, 9910
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The HCF of 9910,8514 is 2.
Lets's calculate GCF of 9910,8514
| 2 | 9910, 8514 |
| 4955, 4257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9910,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 9910
:1,2,5,10,991,1982,4955,9910
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Greatest Common Factor
We found the factors 9910,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 9910,8514 is 2.
Lets's calculate LCM of 613,9474
Given numbers has no common factors except 1. So, there LCM is their product i.e 5807562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5807562
Therefore, the GCF of Fractions 9910/613,8514/9474 is 2/5807562
Least Common Multiple of 613,9474 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 613,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,9474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,9474) x common factors =1 x 1 = 1
LCM(613,9474) = ( 613 × 9474 ) / 1
LCM(613,9474) = 5807562 / 1
LCM(613,9474) = 5807562
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FAQs on GCF of Fractions of 9910/613, 8514/9474
1. What is the HCF of 9910,8514?
The HCF of 9910,8514 is 2
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 9910/613, 8514/9474?
Answer: GCF of Numerators as per given numbers 9910/613, 8514/9474 is
GCF of Numerators i.e. for 9910,8514 is 2
LCM of denominators i.e. for 613,9474 is 5807562.
Thus, GCF of Fractions is 2/5807562.Finally, GCF of Fractions for 9910/613, 8514/9474 is 2/5807562.