GCF of 8355/810, 5646/9619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8355/810, 5646/9619 i.e 3/7791390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8355/810, 5646/9619.
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 8355/810,5646/9619?
Given fractions are 8355/810,5646/9619
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 8355/810,5646/9619, numerators are 8355,5646
Denominators are 810,9619
The GCF of 8355,5646 is 3 .
LCM of 810,9619 is 7791390.
The greatest common factor of 8355/810,5646/9619 = [GCF of 8355,5646]/[LCM of 810,9619]= 3/7791390
Therefore, the GCF of 8355/810,5646/9619 is 3/7791390.
To find the highest common factor of 8355,5646, we have to find the factors of both numbers and list the highest common factor.
The factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355
The factors of 5646 are 1, 2, 3, 6, 941, 1882, 2823, 5646
The HCF of 8355,5646 is 3.
Lets's calculate GCF of 8355,5646
| 3 | 8355, 5646 |
| 2785, 1882 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8355,5646 By Matching Biggest Common Factor Method
Now, list down the factors of 8355
:1,3,5,15,557,1671,2785,8355
Now, list down the factors of 5646
:1,2,3,6,941,1882,2823,5646
Greatest Common Factor
We found the factors 8355,5646 . The biggest common factor number is the GCF number.
So the greatest common factor 8355,5646 is 3.
Lets's calculate LCM of 810,9619
Given numbers has no common factors except 1. So, there LCM is their product i.e 7791390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7791390
Therefore, the GCF of Fractions 8355/810,5646/9619 is 3/7791390
Least Common Multiple of 810,9619 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 810,9619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,9619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,9619) x common factors =1 x 1 = 1
LCM(810,9619) = ( 810 × 9619 ) / 1
LCM(810,9619) = 7791390 / 1
LCM(810,9619) = 7791390
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FAQs on GCF of Fractions of 8355/810, 5646/9619
1. What is the HCF of 8355,5646?
The HCF of 8355,5646 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 8355/810, 5646/9619?
Answer: GCF of Numerators as per given numbers 8355/810, 5646/9619 is
GCF of Numerators i.e. for 8355,5646 is 3
LCM of denominators i.e. for 810,9619 is 7791390.
Thus, GCF of Fractions is 3/7791390.Finally, GCF of Fractions for 8355/810, 5646/9619 is 3/7791390.