GCF of 2066/345, 8617/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2066/345, 8617/867 i.e 1/99705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2066/345, 8617/867.
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 2066/345,8617/867?
Given fractions are 2066/345,8617/867
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 2066/345,8617/867, numerators are 2066,8617
Denominators are 345,867
The GCF of 2066,8617 is 1 .
LCM of 345,867 is 99705.
The greatest common factor of 2066/345,8617/867 = [GCF of 2066,8617]/[LCM of 345,867]= 1/99705
Therefore, the GCF of 2066/345,8617/867 is 1/99705.
To find the highest common factor of 2066,8617, we have to find the factors of both numbers and list the highest common factor.
The factors of 2066 are 1, 2, 1033, 2066
The factors of 8617 are 1, 7, 1231, 8617
The HCF of 2066,8617 is 1.
Lets's calculate GCF of 2066,8617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2066,8617 By Matching Biggest Common Factor Method
Now, list down the factors of 2066
:1,2,1033,2066
Now, list down the factors of 8617
:1,7,1231,8617
Greatest Common Factor
We found the factors 2066,8617 . The biggest common factor number is the GCF number.
So the greatest common factor 2066,8617 is 1.
Lets's calculate LCM of 345,867
| 3 | 345, 867 |
| 115, 289 |
∴ So the LCM of the given numbers is 3 x 115 x 289 = 99705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99705
Therefore, the GCF of Fractions 2066/345,8617/867 is 1/99705
Least Common Multiple of 345,867 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 345,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,867) x common factors =3 x 1 = 3
LCM(345,867) = ( 345 × 867 ) / 3
LCM(345,867) = 299115 / 3
LCM(345,867) = 99705
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FAQs on GCF of Fractions of 2066/345, 8617/867
1. What is the HCF of 2066,8617?
The HCF of 2066,8617 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 2066/345, 8617/867?
Answer: GCF of Numerators as per given numbers 2066/345, 8617/867 is
GCF of Numerators i.e. for 2066,8617 is 1
LCM of denominators i.e. for 345,867 is 99705.
Thus, GCF of Fractions is 1/99705.Finally, GCF of Fractions for 2066/345, 8617/867 is 1/99705.