GCF of 337/262, 564/227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 337/262, 564/227 i.e 1/59474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 337/262, 564/227.
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 337/262,564/227?
Given fractions are 337/262,564/227
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 337/262,564/227, numerators are 337,564
Denominators are 262,227
The GCF of 337,564 is 1 .
LCM of 262,227 is 59474.
The greatest common factor of 337/262,564/227 = [GCF of 337,564]/[LCM of 262,227]= 1/59474
Therefore, the GCF of 337/262,564/227 is 1/59474.
To find the highest common factor of 337,564, we have to find the factors of both numbers and list the highest common factor.
The factors of 337 are 1, 337
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 337,564 is 1.
Lets's calculate GCF of 337,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 337,564 By Matching Biggest Common Factor Method
Now, list down the factors of 337
:1,337
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 337,564 . The biggest common factor number is the GCF number.
So the greatest common factor 337,564 is 1.
Lets's calculate LCM of 262,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 59474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59474
Therefore, the GCF of Fractions 337/262,564/227 is 1/59474
Least Common Multiple of 262,227 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 262,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,227) x common factors =1 x 1 = 1
LCM(262,227) = ( 262 × 227 ) / 1
LCM(262,227) = 59474 / 1
LCM(262,227) = 59474
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FAQs on GCF of Fractions of 337/262, 564/227
1. What is the HCF of 337,564?
The HCF of 337,564 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 337/262, 564/227?
Answer: GCF of Numerators as per given numbers 337/262, 564/227 is
GCF of Numerators i.e. for 337,564 is 1
LCM of denominators i.e. for 262,227 is 59474.
Thus, GCF of Fractions is 1/59474.Finally, GCF of Fractions for 337/262, 564/227 is 1/59474.