GCF of 1676/286, 8590/9589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1676/286, 8590/9589 i.e 2/2742454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1676/286, 8590/9589.
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 1676/286,8590/9589?
Given fractions are 1676/286,8590/9589
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 1676/286,8590/9589, numerators are 1676,8590
Denominators are 286,9589
The GCF of 1676,8590 is 2 .
LCM of 286,9589 is 2742454.
The greatest common factor of 1676/286,8590/9589 = [GCF of 1676,8590]/[LCM of 286,9589]= 2/2742454
Therefore, the GCF of 1676/286,8590/9589 is 2/2742454.
To find the highest common factor of 1676,8590, we have to find the factors of both numbers and list the highest common factor.
The factors of 1676 are 1, 2, 4, 419, 838, 1676
The factors of 8590 are 1, 2, 5, 10, 859, 1718, 4295, 8590
The HCF of 1676,8590 is 2.
Lets's calculate GCF of 1676,8590
| 2 | 1676, 8590 |
| 838, 4295 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1676,8590 By Matching Biggest Common Factor Method
Now, list down the factors of 1676
:1,2,4,419,838,1676
Now, list down the factors of 8590
:1,2,5,10,859,1718,4295,8590
Greatest Common Factor
We found the factors 1676,8590 . The biggest common factor number is the GCF number.
So the greatest common factor 1676,8590 is 2.
Lets's calculate LCM of 286,9589
Given numbers has no common factors except 1. So, there LCM is their product i.e 2742454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2742454
Therefore, the GCF of Fractions 1676/286,8590/9589 is 2/2742454
Least Common Multiple of 286,9589 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 286,9589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,9589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(286,9589) x common factors =1 x 1 = 1
LCM(286,9589) = ( 286 × 9589 ) / 1
LCM(286,9589) = 2742454 / 1
LCM(286,9589) = 2742454
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FAQs on GCF of Fractions of 1676/286, 8590/9589
1. What is the HCF of 1676,8590?
The HCF of 1676,8590 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 1676/286, 8590/9589?
Answer: GCF of Numerators as per given numbers 1676/286, 8590/9589 is
GCF of Numerators i.e. for 1676,8590 is 2
LCM of denominators i.e. for 286,9589 is 2742454.
Thus, GCF of Fractions is 2/2742454.Finally, GCF of Fractions for 1676/286, 8590/9589 is 2/2742454.