GCF of 859/982, 233/320, 227/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 859/982, 233/320, 227/827 i.e 1/129938240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 859/982, 233/320, 227/827.
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 859/982,233/320,227/827?
Given fractions are 859/982,233/320,227/827
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 859/982,233/320,227/827, numerators are 859,233,227
Denominators are 982,320,827
The GCF of 859,233,227 is 1 .
LCM of 982,320,827 is 129938240.
The greatest common factor of 859/982,233/320,227/827 = [GCF of 859,233,227]/[LCM of 982,320,827]= 1/129938240
Therefore, the GCF of 859/982,233/320,227/827 is 1/129938240.
To find the highest common factor of 859,233,227, we have to find the factors of both numbers and list the highest common factor.
The factors of 859 are 1, 859
The factors of 233 are 1, 233
The factors of 227 are 1, 227
The HCF of 859,233,227 is 1.
Lets's calculate GCF of 859,233,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 859,233,227 By Matching Biggest Common Factor Method
Now, list down the factors of 859
:1,859
Now, list down the factors of 233
:1,233
Now, list down the factors of 227
:1,227
Greatest Common Factor
We found the factors 859,233,227 . The biggest common factor number is the GCF number.
So the greatest common factor 859,233,227 is 1.
Lets's calculate LCM of 982,320,827
| 2 | 982, 320, 827 |
| 491, 160, 827 |
∴ So the LCM of the given numbers is 2 x 491 x 160 x 827 = 129938240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129938240
Therefore, the GCF of Fractions 859/982,233/320,227/827 is 1/129938240
Least Common Multiple of 982,320,827 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 982,320,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,320,827) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(982,320,827) x common factors =1 x 2 = 2
LCM(982,320,827) = ( 982 × 320 × 827 ) / 2
LCM(982,320,827) = 259876480 / 2
LCM(982,320,827) = 129938240
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FAQs on GCF of Fractions of 859/982, 233/320, 227/827
1. What is the HCF of 859,233,227?
The HCF of 859,233,227 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 859/982, 233/320, 227/827?
Answer: GCF of Numerators as per given numbers 859/982, 233/320, 227/827 is
GCF of Numerators i.e. for 859,233,227 is 1
LCM of denominators i.e. for 982,320,827 is 129938240.
Thus, GCF of Fractions is 1/129938240.Finally, GCF of Fractions for 859/982, 233/320, 227/827 is 1/129938240.