GCF of 8668/286, 2639/9610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8668/286, 2639/9610 i.e 1/1374230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8668/286, 2639/9610.
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 8668/286,2639/9610?
Given fractions are 8668/286,2639/9610
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 8668/286,2639/9610, numerators are 8668,2639
Denominators are 286,9610
The GCF of 8668,2639 is 1 .
LCM of 286,9610 is 1374230.
The greatest common factor of 8668/286,2639/9610 = [GCF of 8668,2639]/[LCM of 286,9610]= 1/1374230
Therefore, the GCF of 8668/286,2639/9610 is 1/1374230.
To find the highest common factor of 8668,2639, we have to find the factors of both numbers and list the highest common factor.
The factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668
The factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639
The HCF of 8668,2639 is 1.
Lets's calculate GCF of 8668,2639
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8668,2639 By Matching Biggest Common Factor Method
Now, list down the factors of 8668
:1,2,4,11,22,44,197,394,788,2167,4334,8668
Now, list down the factors of 2639
:1,7,13,29,91,203,377,2639
Greatest Common Factor
We found the factors 8668,2639 . The biggest common factor number is the GCF number.
So the greatest common factor 8668,2639 is 1.
Lets's calculate LCM of 286,9610
| 2 | 286, 9610 |
| 143, 4805 |
∴ So the LCM of the given numbers is 2 x 143 x 4805 = 1374230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1374230
Therefore, the GCF of Fractions 8668/286,2639/9610 is 1/1374230
Least Common Multiple of 286,9610 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 286,9610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,9610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,9610) x common factors =2 x 1 = 2
LCM(286,9610) = ( 286 × 9610 ) / 2
LCM(286,9610) = 2748460 / 2
LCM(286,9610) = 1374230
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FAQs on GCF of Fractions of 8668/286, 2639/9610
1. What is the HCF of 8668,2639?
The HCF of 8668,2639 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 8668/286, 2639/9610?
Answer: GCF of Numerators as per given numbers 8668/286, 2639/9610 is
GCF of Numerators i.e. for 8668,2639 is 1
LCM of denominators i.e. for 286,9610 is 1374230.
Thus, GCF of Fractions is 1/1374230.Finally, GCF of Fractions for 8668/286, 2639/9610 is 1/1374230.