GCF of 1805/125, 1155/8193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1805/125, 1155/8193 i.e 5/1024125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1805/125, 1155/8193.
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 1805/125,1155/8193?
Given fractions are 1805/125,1155/8193
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 1805/125,1155/8193, numerators are 1805,1155
Denominators are 125,8193
The GCF of 1805,1155 is 5 .
LCM of 125,8193 is 1024125.
The greatest common factor of 1805/125,1155/8193 = [GCF of 1805,1155]/[LCM of 125,8193]= 5/1024125
Therefore, the GCF of 1805/125,1155/8193 is 5/1024125.
To find the highest common factor of 1805,1155, we have to find the factors of both numbers and list the highest common factor.
The factors of 1805 are 1, 5, 19, 95, 361, 1805
The factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155
The HCF of 1805,1155 is 5.
Lets's calculate GCF of 1805,1155
| 5 | 1805, 1155 |
| 361, 231 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1805,1155 By Matching Biggest Common Factor Method
Now, list down the factors of 1805
:1,5,19,95,361,1805
Now, list down the factors of 1155
:1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155
Greatest Common Factor
We found the factors 1805,1155 . The biggest common factor number is the GCF number.
So the greatest common factor 1805,1155 is 5.
Lets's calculate LCM of 125,8193
Given numbers has no common factors except 1. So, there LCM is their product i.e 1024125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1024125
Therefore, the GCF of Fractions 1805/125,1155/8193 is 5/1024125
Least Common Multiple of 125,8193 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 125,8193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,8193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,8193) x common factors =1 x 1 = 1
LCM(125,8193) = ( 125 × 8193 ) / 1
LCM(125,8193) = 1024125 / 1
LCM(125,8193) = 1024125
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FAQs on GCF of Fractions of 1805/125, 1155/8193
1. What is the HCF of 1805,1155?
The HCF of 1805,1155 is 5
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 1805/125, 1155/8193?
Answer: GCF of Numerators as per given numbers 1805/125, 1155/8193 is
GCF of Numerators i.e. for 1805,1155 is 5
LCM of denominators i.e. for 125,8193 is 1024125.
Thus, GCF of Fractions is 5/1024125.Finally, GCF of Fractions for 1805/125, 1155/8193 is 5/1024125.