GCF of 9826/687, 3213/8891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9826/687, 3213/8891 i.e 17/6108117 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9826/687, 3213/8891.
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 9826/687,3213/8891?
Given fractions are 9826/687,3213/8891
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 9826/687,3213/8891, numerators are 9826,3213
Denominators are 687,8891
The GCF of 9826,3213 is 17 .
LCM of 687,8891 is 6108117.
The greatest common factor of 9826/687,3213/8891 = [GCF of 9826,3213]/[LCM of 687,8891]= 17/6108117
Therefore, the GCF of 9826/687,3213/8891 is 17/6108117.
To find the highest common factor of 9826,3213, we have to find the factors of both numbers and list the highest common factor.
The factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826
The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The HCF of 9826,3213 is 17.
Lets's calculate GCF of 9826,3213
| 17 | 9826, 3213 |
| 578, 189 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 9826,3213 By Matching Biggest Common Factor Method
Now, list down the factors of 9826
:1,2,17,34,289,578,4913,9826
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Greatest Common Factor
We found the factors 9826,3213 . The biggest common factor number is the GCF number.
So the greatest common factor 9826,3213 is 17.
Lets's calculate LCM of 687,8891
Given numbers has no common factors except 1. So, there LCM is their product i.e 6108117
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6108117
Therefore, the GCF of Fractions 9826/687,3213/8891 is 17/6108117
Least Common Multiple of 687,8891 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 687,8891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,8891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,8891) x common factors =1 x 1 = 1
LCM(687,8891) = ( 687 × 8891 ) / 1
LCM(687,8891) = 6108117 / 1
LCM(687,8891) = 6108117
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FAQs on GCF of Fractions of 9826/687, 3213/8891
1. What is the HCF of 9826,3213?
The HCF of 9826,3213 is 17
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 9826/687, 3213/8891?
Answer: GCF of Numerators as per given numbers 9826/687, 3213/8891 is
GCF of Numerators i.e. for 9826,3213 is 17
LCM of denominators i.e. for 687,8891 is 6108117.
Thus, GCF of Fractions is 17/6108117.Finally, GCF of Fractions for 9826/687, 3213/8891 is 17/6108117.