GCF of 2589/786, 8073/6771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2589/786, 8073/6771 i.e 3/1774002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2589/786, 8073/6771.
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 2589/786,8073/6771?
Given fractions are 2589/786,8073/6771
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 2589/786,8073/6771, numerators are 2589,8073
Denominators are 786,6771
The GCF of 2589,8073 is 3 .
LCM of 786,6771 is 1774002.
The greatest common factor of 2589/786,8073/6771 = [GCF of 2589,8073]/[LCM of 786,6771]= 3/1774002
Therefore, the GCF of 2589/786,8073/6771 is 3/1774002.
To find the highest common factor of 2589,8073, we have to find the factors of both numbers and list the highest common factor.
The factors of 2589 are 1, 3, 863, 2589
The factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
The HCF of 2589,8073 is 3.
Lets's calculate GCF of 2589,8073
| 3 | 2589, 8073 |
| 863, 2691 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2589,8073 By Matching Biggest Common Factor Method
Now, list down the factors of 2589
:1,3,863,2589
Now, list down the factors of 8073
:1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Greatest Common Factor
We found the factors 2589,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 2589,8073 is 3.
Lets's calculate LCM of 786,6771
| 3 | 786, 6771 |
| 262, 2257 |
∴ So the LCM of the given numbers is 3 x 262 x 2257 = 1774002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1774002
Therefore, the GCF of Fractions 2589/786,8073/6771 is 3/1774002
Least Common Multiple of 786,6771 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 786,6771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,6771) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(786,6771) x common factors =3 x 1 = 3
LCM(786,6771) = ( 786 × 6771 ) / 3
LCM(786,6771) = 5322006 / 3
LCM(786,6771) = 1774002
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FAQs on GCF of Fractions of 2589/786, 8073/6771
1. What is the HCF of 2589,8073?
The HCF of 2589,8073 is 3
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 2589/786, 8073/6771?
Answer: GCF of Numerators as per given numbers 2589/786, 8073/6771 is
GCF of Numerators i.e. for 2589,8073 is 3
LCM of denominators i.e. for 786,6771 is 1774002.
Thus, GCF of Fractions is 3/1774002.Finally, GCF of Fractions for 2589/786, 8073/6771 is 3/1774002.