GCF of 226/25, 731/9362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/25, 731/9362 i.e 1/234050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/25, 731/9362.
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 226/25,731/9362?
Given fractions are 226/25,731/9362
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 226/25,731/9362, numerators are 226,731
Denominators are 25,9362
The GCF of 226,731 is 1 .
LCM of 25,9362 is 234050.
The greatest common factor of 226/25,731/9362 = [GCF of 226,731]/[LCM of 25,9362]= 1/234050
Therefore, the GCF of 226/25,731/9362 is 1/234050.
To find the highest common factor of 226,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 226 are 1, 2, 113, 226
The factors of 731 are 1, 17, 43, 731
The HCF of 226,731 is 1.
Lets's calculate GCF of 226,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 226,731 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 226,731 . The biggest common factor number is the GCF number.
So the greatest common factor 226,731 is 1.
Lets's calculate LCM of 25,9362
Given numbers has no common factors except 1. So, there LCM is their product i.e 234050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234050
Therefore, the GCF of Fractions 226/25,731/9362 is 1/234050
Least Common Multiple of 25,9362 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 25,9362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,9362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,9362) x common factors =1 x 1 = 1
LCM(25,9362) = ( 25 × 9362 ) / 1
LCM(25,9362) = 234050 / 1
LCM(25,9362) = 234050
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FAQs on GCF of Fractions of 226/25, 731/9362
1. What is the HCF of 226,731?
The HCF of 226,731 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 226/25, 731/9362?
Answer: GCF of Numerators as per given numbers 226/25, 731/9362 is
GCF of Numerators i.e. for 226,731 is 1
LCM of denominators i.e. for 25,9362 is 234050.
Thus, GCF of Fractions is 1/234050.Finally, GCF of Fractions for 226/25, 731/9362 is 1/234050.