GCF of 241/227, 157/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 241/227, 157/294 i.e 1/66738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 241/227, 157/294.
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 241/227,157/294?
Given fractions are 241/227,157/294
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 241/227,157/294, numerators are 241,157
Denominators are 227,294
The GCF of 241,157 is 1 .
LCM of 227,294 is 66738.
The greatest common factor of 241/227,157/294 = [GCF of 241,157]/[LCM of 227,294]= 1/66738
Therefore, the GCF of 241/227,157/294 is 1/66738.
To find the highest common factor of 241,157, we have to find the factors of both numbers and list the highest common factor.
The factors of 241 are 1, 241
The factors of 157 are 1, 157
The HCF of 241,157 is 1.
Lets's calculate GCF of 241,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 241,157 By Matching Biggest Common Factor Method
Now, list down the factors of 241
:1,241
Now, list down the factors of 157
:1,157
Greatest Common Factor
We found the factors 241,157 . The biggest common factor number is the GCF number.
So the greatest common factor 241,157 is 1.
Lets's calculate LCM of 227,294
Given numbers has no common factors except 1. So, there LCM is their product i.e 66738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66738
Therefore, the GCF of Fractions 241/227,157/294 is 1/66738
Least Common Multiple of 227,294 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 227,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,294) x common factors =1 x 1 = 1
LCM(227,294) = ( 227 × 294 ) / 1
LCM(227,294) = 66738 / 1
LCM(227,294) = 66738
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 241/227, 157/294
1. What is the HCF of 241,157?
The HCF of 241,157 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 241/227, 157/294?
Answer: GCF of Numerators as per given numbers 241/227, 157/294 is
GCF of Numerators i.e. for 241,157 is 1
LCM of denominators i.e. for 227,294 is 66738.
Thus, GCF of Fractions is 1/66738.Finally, GCF of Fractions for 241/227, 157/294 is 1/66738.