GCF of 8559/613, 9770/2285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8559/613, 9770/2285 i.e 1/1400705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8559/613, 9770/2285.
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 8559/613,9770/2285?
Given fractions are 8559/613,9770/2285
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 8559/613,9770/2285, numerators are 8559,9770
Denominators are 613,2285
The GCF of 8559,9770 is 1 .
LCM of 613,2285 is 1400705.
The greatest common factor of 8559/613,9770/2285 = [GCF of 8559,9770]/[LCM of 613,2285]= 1/1400705
Therefore, the GCF of 8559/613,9770/2285 is 1/1400705.
To find the highest common factor of 8559,9770, we have to find the factors of both numbers and list the highest common factor.
The factors of 8559 are 1, 3, 9, 27, 317, 951, 2853, 8559
The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The HCF of 8559,9770 is 1.
Lets's calculate GCF of 8559,9770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8559,9770 By Matching Biggest Common Factor Method
Now, list down the factors of 8559
:1,3,9,27,317,951,2853,8559
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Greatest Common Factor
We found the factors 8559,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 8559,9770 is 1.
Lets's calculate LCM of 613,2285
Given numbers has no common factors except 1. So, there LCM is their product i.e 1400705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1400705
Therefore, the GCF of Fractions 8559/613,9770/2285 is 1/1400705
Least Common Multiple of 613,2285 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 613,2285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,2285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,2285) x common factors =1 x 1 = 1
LCM(613,2285) = ( 613 × 2285 ) / 1
LCM(613,2285) = 1400705 / 1
LCM(613,2285) = 1400705
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FAQs on GCF of Fractions of 8559/613, 9770/2285
1. What is the HCF of 8559,9770?
The HCF of 8559,9770 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 8559/613, 9770/2285?
Answer: GCF of Numerators as per given numbers 8559/613, 9770/2285 is
GCF of Numerators i.e. for 8559,9770 is 1
LCM of denominators i.e. for 613,2285 is 1400705.
Thus, GCF of Fractions is 1/1400705.Finally, GCF of Fractions for 8559/613, 9770/2285 is 1/1400705.