GCF of 2057/613, 2470/3452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2057/613, 2470/3452 i.e 1/2116076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2057/613, 2470/3452.
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 2057/613,2470/3452?
Given fractions are 2057/613,2470/3452
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 2057/613,2470/3452, numerators are 2057,2470
Denominators are 613,3452
The GCF of 2057,2470 is 1 .
LCM of 613,3452 is 2116076.
The greatest common factor of 2057/613,2470/3452 = [GCF of 2057,2470]/[LCM of 613,3452]= 1/2116076
Therefore, the GCF of 2057/613,2470/3452 is 1/2116076.
To find the highest common factor of 2057,2470, we have to find the factors of both numbers and list the highest common factor.
The factors of 2057 are 1, 11, 17, 121, 187, 2057
The factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470
The HCF of 2057,2470 is 1.
Lets's calculate GCF of 2057,2470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2057,2470 By Matching Biggest Common Factor Method
Now, list down the factors of 2057
:1,11,17,121,187,2057
Now, list down the factors of 2470
:1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470
Greatest Common Factor
We found the factors 2057,2470 . The biggest common factor number is the GCF number.
So the greatest common factor 2057,2470 is 1.
Lets's calculate LCM of 613,3452
Given numbers has no common factors except 1. So, there LCM is their product i.e 2116076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2116076
Therefore, the GCF of Fractions 2057/613,2470/3452 is 1/2116076
Least Common Multiple of 613,3452 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 613,3452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,3452) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,3452) x common factors =1 x 1 = 1
LCM(613,3452) = ( 613 × 3452 ) / 1
LCM(613,3452) = 2116076 / 1
LCM(613,3452) = 2116076
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FAQs on GCF of Fractions of 2057/613, 2470/3452
1. What is the HCF of 2057,2470?
The HCF of 2057,2470 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 2057/613, 2470/3452?
Answer: GCF of Numerators as per given numbers 2057/613, 2470/3452 is
GCF of Numerators i.e. for 2057,2470 is 1
LCM of denominators i.e. for 613,3452 is 2116076.
Thus, GCF of Fractions is 1/2116076.Finally, GCF of Fractions for 2057/613, 2470/3452 is 1/2116076.