GCF of 8617/239, 1812/6198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8617/239, 1812/6198 i.e 1/1481322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8617/239, 1812/6198.
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 8617/239,1812/6198?
Given fractions are 8617/239,1812/6198
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 8617/239,1812/6198, numerators are 8617,1812
Denominators are 239,6198
The GCF of 8617,1812 is 1 .
LCM of 239,6198 is 1481322.
The greatest common factor of 8617/239,1812/6198 = [GCF of 8617,1812]/[LCM of 239,6198]= 1/1481322
Therefore, the GCF of 8617/239,1812/6198 is 1/1481322.
To find the highest common factor of 8617,1812, we have to find the factors of both numbers and list the highest common factor.
The factors of 8617 are 1, 7, 1231, 8617
The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812
The HCF of 8617,1812 is 1.
Lets's calculate GCF of 8617,1812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8617,1812 By Matching Biggest Common Factor Method
Now, list down the factors of 8617
:1,7,1231,8617
Now, list down the factors of 1812
:1,2,3,4,6,12,151,302,453,604,906,1812
Greatest Common Factor
We found the factors 8617,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 8617,1812 is 1.
Lets's calculate LCM of 239,6198
Given numbers has no common factors except 1. So, there LCM is their product i.e 1481322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1481322
Therefore, the GCF of Fractions 8617/239,1812/6198 is 1/1481322
Least Common Multiple of 239,6198 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 239,6198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,6198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,6198) x common factors =1 x 1 = 1
LCM(239,6198) = ( 239 × 6198 ) / 1
LCM(239,6198) = 1481322 / 1
LCM(239,6198) = 1481322
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FAQs on GCF of Fractions of 8617/239, 1812/6198
1. What is the HCF of 8617,1812?
The HCF of 8617,1812 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 8617/239, 1812/6198?
Answer: GCF of Numerators as per given numbers 8617/239, 1812/6198 is
GCF of Numerators i.e. for 8617,1812 is 1
LCM of denominators i.e. for 239,6198 is 1481322.
Thus, GCF of Fractions is 1/1481322.Finally, GCF of Fractions for 8617/239, 1812/6198 is 1/1481322.