GCF of 844/81, 414/185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 844/81, 414/185 i.e 2/14985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/81, 414/185.
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 844/81,414/185?
Given fractions are 844/81,414/185
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 844/81,414/185, numerators are 844,414
Denominators are 81,185
The GCF of 844,414 is 2 .
LCM of 81,185 is 14985.
The greatest common factor of 844/81,414/185 = [GCF of 844,414]/[LCM of 81,185]= 2/14985
Therefore, the GCF of 844/81,414/185 is 2/14985.
To find the highest common factor of 844,414, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
The HCF of 844,414 is 2.
Lets's calculate GCF of 844,414
| 2 | 844, 414 |
| 422, 207 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 844,414 By Matching Biggest Common Factor Method
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 414
:1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 844,414 . The biggest common factor number is the GCF number.
So the greatest common factor 844,414 is 2.
Lets's calculate LCM of 81,185
Given numbers has no common factors except 1. So, there LCM is their product i.e 14985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14985
Therefore, the GCF of Fractions 844/81,414/185 is 2/14985
Least Common Multiple of 81,185 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 81,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,185) x common factors =1 x 1 = 1
LCM(81,185) = ( 81 × 185 ) / 1
LCM(81,185) = 14985 / 1
LCM(81,185) = 14985
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FAQs on GCF of Fractions of 844/81, 414/185
1. What is the HCF of 844,414?
The HCF of 844,414 is 2
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 844/81, 414/185?
Answer: GCF of Numerators as per given numbers 844/81, 414/185 is
GCF of Numerators i.e. for 844,414 is 2
LCM of denominators i.e. for 81,185 is 14985.
Thus, GCF of Fractions is 2/14985.Finally, GCF of Fractions for 844/81, 414/185 is 2/14985.