GCF of 1337/273, 2905/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1337/273, 2905/314 i.e 7/85722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1337/273, 2905/314.
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 1337/273,2905/314?
Given fractions are 1337/273,2905/314
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 1337/273,2905/314, numerators are 1337,2905
Denominators are 273,314
The GCF of 1337,2905 is 7 .
LCM of 273,314 is 85722.
The greatest common factor of 1337/273,2905/314 = [GCF of 1337,2905]/[LCM of 273,314]= 7/85722
Therefore, the GCF of 1337/273,2905/314 is 7/85722.
To find the highest common factor of 1337,2905, we have to find the factors of both numbers and list the highest common factor.
The factors of 1337 are 1, 7, 191, 1337
The factors of 2905 are 1, 5, 7, 35, 83, 415, 581, 2905
The HCF of 1337,2905 is 7.
Lets's calculate GCF of 1337,2905
| 7 | 1337, 2905 |
| 191, 415 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1337,2905 By Matching Biggest Common Factor Method
Now, list down the factors of 1337
:1,7,191,1337
Now, list down the factors of 2905
:1,5,7,35,83,415,581,2905
Greatest Common Factor
We found the factors 1337,2905 . The biggest common factor number is the GCF number.
So the greatest common factor 1337,2905 is 7.
Lets's calculate LCM of 273,314
Given numbers has no common factors except 1. So, there LCM is their product i.e 85722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/85722
Therefore, the GCF of Fractions 1337/273,2905/314 is 7/85722
Least Common Multiple of 273,314 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 273,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,314) x common factors =1 x 1 = 1
LCM(273,314) = ( 273 × 314 ) / 1
LCM(273,314) = 85722 / 1
LCM(273,314) = 85722
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FAQs on GCF of Fractions of 1337/273, 2905/314
1. What is the HCF of 1337,2905?
The HCF of 1337,2905 is 7
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 1337/273, 2905/314?
Answer: GCF of Numerators as per given numbers 1337/273, 2905/314 is
GCF of Numerators i.e. for 1337,2905 is 7
LCM of denominators i.e. for 273,314 is 85722.
Thus, GCF of Fractions is 7/85722.Finally, GCF of Fractions for 1337/273, 2905/314 is 7/85722.