GCF of 8655/212, 9285/1021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8655/212, 9285/1021 i.e 15/216452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8655/212, 9285/1021.
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 8655/212,9285/1021?
Given fractions are 8655/212,9285/1021
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 8655/212,9285/1021, numerators are 8655,9285
Denominators are 212,1021
The GCF of 8655,9285 is 15 .
LCM of 212,1021 is 216452.
The greatest common factor of 8655/212,9285/1021 = [GCF of 8655,9285]/[LCM of 212,1021]= 15/216452
Therefore, the GCF of 8655/212,9285/1021 is 15/216452.
To find the highest common factor of 8655,9285, we have to find the factors of both numbers and list the highest common factor.
The factors of 8655 are 1, 3, 5, 15, 577, 1731, 2885, 8655
The factors of 9285 are 1, 3, 5, 15, 619, 1857, 3095, 9285
The HCF of 8655,9285 is 15.
Lets's calculate GCF of 8655,9285
| 3 | 8655, 9285 |
| 5 | 2885, 3095 |
| 577, 619 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 8655,9285 By Matching Biggest Common Factor Method
Now, list down the factors of 8655
:1,3,5,15,577,1731,2885,8655
Now, list down the factors of 9285
:1,3,5,15,619,1857,3095,9285
Greatest Common Factor
We found the factors 8655,9285 . The biggest common factor number is the GCF number.
So the greatest common factor 8655,9285 is 15.
Lets's calculate LCM of 212,1021
Given numbers has no common factors except 1. So, there LCM is their product i.e 216452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/216452
Therefore, the GCF of Fractions 8655/212,9285/1021 is 15/216452
Least Common Multiple of 212,1021 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 212,1021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,1021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,1021) x common factors =1 x 1 = 1
LCM(212,1021) = ( 212 × 1021 ) / 1
LCM(212,1021) = 216452 / 1
LCM(212,1021) = 216452
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FAQs on GCF of Fractions of 8655/212, 9285/1021
1. What is the HCF of 8655,9285?
The HCF of 8655,9285 is 15
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 8655/212, 9285/1021?
Answer: GCF of Numerators as per given numbers 8655/212, 9285/1021 is
GCF of Numerators i.e. for 8655,9285 is 15
LCM of denominators i.e. for 212,1021 is 216452.
Thus, GCF of Fractions is 15/216452.Finally, GCF of Fractions for 8655/212, 9285/1021 is 15/216452.