GCF of 227/280, 8601/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 227/280, 8601/235 i.e 1/13160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/280, 8601/235.
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 227/280,8601/235?
Given fractions are 227/280,8601/235
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 227/280,8601/235, numerators are 227,8601
Denominators are 280,235
The GCF of 227,8601 is 1 .
LCM of 280,235 is 13160.
The greatest common factor of 227/280,8601/235 = [GCF of 227,8601]/[LCM of 280,235]= 1/13160
Therefore, the GCF of 227/280,8601/235 is 1/13160.
To find the highest common factor of 227,8601, we have to find the factors of both numbers and list the highest common factor.
The factors of 227 are 1, 227
The factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601
The HCF of 227,8601 is 1.
Lets's calculate GCF of 227,8601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 227,8601 By Matching Biggest Common Factor Method
Now, list down the factors of 227
:1,227
Now, list down the factors of 8601
:1,3,47,61,141,183,2867,8601
Greatest Common Factor
We found the factors 227,8601 . The biggest common factor number is the GCF number.
So the greatest common factor 227,8601 is 1.
Lets's calculate LCM of 280,235
| 5 | 280, 235 |
| 56, 47 |
∴ So the LCM of the given numbers is 5 x 56 x 47 = 13160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13160
Therefore, the GCF of Fractions 227/280,8601/235 is 1/13160
Least Common Multiple of 280,235 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 280,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,235) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(280,235) x common factors =5 x 1 = 5
LCM(280,235) = ( 280 × 235 ) / 5
LCM(280,235) = 65800 / 5
LCM(280,235) = 13160
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FAQs on GCF of Fractions of 227/280, 8601/235
1. What is the HCF of 227,8601?
The HCF of 227,8601 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 227/280, 8601/235?
Answer: GCF of Numerators as per given numbers 227/280, 8601/235 is
GCF of Numerators i.e. for 227,8601 is 1
LCM of denominators i.e. for 280,235 is 13160.
Thus, GCF of Fractions is 1/13160.Finally, GCF of Fractions for 227/280, 8601/235 is 1/13160.