GCF of 855/231, 361/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 855/231, 361/269 i.e 19/62139 easily. The following is the detailed procedure to determine the greatest common factor of fractions 855/231, 361/269.
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 855/231,361/269?
Given fractions are 855/231,361/269
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 855/231,361/269, numerators are 855,361
Denominators are 231,269
The GCF of 855,361 is 19 .
LCM of 231,269 is 62139.
The greatest common factor of 855/231,361/269 = [GCF of 855,361]/[LCM of 231,269]= 19/62139
Therefore, the GCF of 855/231,361/269 is 19/62139.
To find the highest common factor of 855,361, we have to find the factors of both numbers and list the highest common factor.
The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
The factors of 361 are 1, 19, 361
The HCF of 855,361 is 19.
Lets's calculate GCF of 855,361
| 19 | 855, 361 |
| 45, 19 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 855,361 By Matching Biggest Common Factor Method
Now, list down the factors of 855
:1,3,5,9,15,19,45,57,95,171,285,855
Now, list down the factors of 361
:1,19,361
Greatest Common Factor
We found the factors 855,361 . The biggest common factor number is the GCF number.
So the greatest common factor 855,361 is 19.
Lets's calculate LCM of 231,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 62139
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/62139
Therefore, the GCF of Fractions 855/231,361/269 is 19/62139
Least Common Multiple of 231,269 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 231,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,269) x common factors =1 x 1 = 1
LCM(231,269) = ( 231 × 269 ) / 1
LCM(231,269) = 62139 / 1
LCM(231,269) = 62139
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FAQs on GCF of Fractions of 855/231, 361/269
1. What is the HCF of 855,361?
The HCF of 855,361 is 19
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 855/231, 361/269?
Answer: GCF of Numerators as per given numbers 855/231, 361/269 is
GCF of Numerators i.e. for 855,361 is 19
LCM of denominators i.e. for 231,269 is 62139.
Thus, GCF of Fractions is 19/62139.Finally, GCF of Fractions for 855/231, 361/269 is 19/62139.