GCF of 815/865, 8175/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 815/865, 8175/219 i.e 5/189435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/865, 8175/219.
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 815/865,8175/219?
Given fractions are 815/865,8175/219
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 815/865,8175/219, numerators are 815,8175
Denominators are 865,219
The GCF of 815,8175 is 5 .
LCM of 865,219 is 189435.
The greatest common factor of 815/865,8175/219 = [GCF of 815,8175]/[LCM of 865,219]= 5/189435
Therefore, the GCF of 815/865,8175/219 is 5/189435.
To find the highest common factor of 815,8175, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175
The HCF of 815,8175 is 5.
Lets's calculate GCF of 815,8175
| 5 | 815, 8175 |
| 163, 1635 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 815,8175 By Matching Biggest Common Factor Method
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 8175
:1,3,5,15,25,75,109,327,545,1635,2725,8175
Greatest Common Factor
We found the factors 815,8175 . The biggest common factor number is the GCF number.
So the greatest common factor 815,8175 is 5.
Lets's calculate LCM of 865,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 189435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/189435
Therefore, the GCF of Fractions 815/865,8175/219 is 5/189435
Least Common Multiple of 865,219 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 865,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,219) x common factors =1 x 1 = 1
LCM(865,219) = ( 865 × 219 ) / 1
LCM(865,219) = 189435 / 1
LCM(865,219) = 189435
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FAQs on GCF of Fractions of 815/865, 8175/219
1. What is the HCF of 815,8175?
The HCF of 815,8175 is 5
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 815/865, 8175/219?
Answer: GCF of Numerators as per given numbers 815/865, 8175/219 is
GCF of Numerators i.e. for 815,8175 is 5
LCM of denominators i.e. for 865,219 is 189435.
Thus, GCF of Fractions is 5/189435.Finally, GCF of Fractions for 815/865, 8175/219 is 5/189435.