GCF of 226/11, 649/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/11, 649/718 i.e 1/7898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/11, 649/718.
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 226/11,649/718?
Given fractions are 226/11,649/718
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 226/11,649/718, numerators are 226,649
Denominators are 11,718
The GCF of 226,649 is 1 .
LCM of 11,718 is 7898.
The greatest common factor of 226/11,649/718 = [GCF of 226,649]/[LCM of 11,718]= 1/7898
Therefore, the GCF of 226/11,649/718 is 1/7898.
To find the highest common factor of 226,649, 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 649 are 1, 11, 59, 649
The HCF of 226,649 is 1.
Lets's calculate GCF of 226,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 226,649 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 226,649 . The biggest common factor number is the GCF number.
So the greatest common factor 226,649 is 1.
Lets's calculate LCM of 11,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 7898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7898
Therefore, the GCF of Fractions 226/11,649/718 is 1/7898
Least Common Multiple of 11,718 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 11,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,718) x common factors =1 x 1 = 1
LCM(11,718) = ( 11 × 718 ) / 1
LCM(11,718) = 7898 / 1
LCM(11,718) = 7898
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FAQs on GCF of Fractions of 226/11, 649/718
1. What is the HCF of 226,649?
The HCF of 226,649 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 226/11, 649/718?
Answer: GCF of Numerators as per given numbers 226/11, 649/718 is
GCF of Numerators i.e. for 226,649 is 1
LCM of denominators i.e. for 11,718 is 7898.
Thus, GCF of Fractions is 1/7898.Finally, GCF of Fractions for 226/11, 649/718 is 1/7898.