GCF of 7806/862, 8729/2586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7806/862, 8729/2586 i.e 1/2586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7806/862, 8729/2586.
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 7806/862,8729/2586?
Given fractions are 7806/862,8729/2586
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 7806/862,8729/2586, numerators are 7806,8729
Denominators are 862,2586
The GCF of 7806,8729 is 1 .
LCM of 862,2586 is 2586.
The greatest common factor of 7806/862,8729/2586 = [GCF of 7806,8729]/[LCM of 862,2586]= 1/2586
Therefore, the GCF of 7806/862,8729/2586 is 1/2586.
To find the highest common factor of 7806,8729, we have to find the factors of both numbers and list the highest common factor.
The factors of 7806 are 1, 2, 3, 6, 1301, 2602, 3903, 7806
The factors of 8729 are 1, 7, 29, 43, 203, 301, 1247, 8729
The HCF of 7806,8729 is 1.
Lets's calculate GCF of 7806,8729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7806,8729 By Matching Biggest Common Factor Method
Now, list down the factors of 7806
:1,2,3,6,1301,2602,3903,7806
Now, list down the factors of 8729
:1,7,29,43,203,301,1247,8729
Greatest Common Factor
We found the factors 7806,8729 . The biggest common factor number is the GCF number.
So the greatest common factor 7806,8729 is 1.
Lets's calculate LCM of 862,2586
| 2 | 862, 2586 |
| 431 | 431, 1293 |
| 1, 3 |
∴ So the LCM of the given numbers is 2 x 431 x 1 x 3 = 2586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2586
Therefore, the GCF of Fractions 7806/862,8729/2586 is 1/2586
Least Common Multiple of 862,2586 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 862,2586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,2586) = 862
common factors(in case of two or more numbers have common factors) = 1
GCF(862,2586) x common factors =862 x 1 = 862
LCM(862,2586) = ( 862 × 2586 ) / 862
LCM(862,2586) = 2229132 / 862
LCM(862,2586) = 2586
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FAQs on GCF of Fractions of 7806/862, 8729/2586
1. What is the HCF of 7806,8729?
The HCF of 7806,8729 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 7806/862, 8729/2586?
Answer: GCF of Numerators as per given numbers 7806/862, 8729/2586 is
GCF of Numerators i.e. for 7806,8729 is 1
LCM of denominators i.e. for 862,2586 is 2586.
Thus, GCF of Fractions is 1/2586.Finally, GCF of Fractions for 7806/862, 8729/2586 is 1/2586.