GCF of 2713/183, 2636/494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2713/183, 2636/494 i.e 1/90402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2713/183, 2636/494.
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 2713/183,2636/494?
Given fractions are 2713/183,2636/494
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 2713/183,2636/494, numerators are 2713,2636
Denominators are 183,494
The GCF of 2713,2636 is 1 .
LCM of 183,494 is 90402.
The greatest common factor of 2713/183,2636/494 = [GCF of 2713,2636]/[LCM of 183,494]= 1/90402
Therefore, the GCF of 2713/183,2636/494 is 1/90402.
To find the highest common factor of 2713,2636, we have to find the factors of both numbers and list the highest common factor.
The factors of 2713 are 1, 2713
The factors of 2636 are 1, 2, 4, 659, 1318, 2636
The HCF of 2713,2636 is 1.
Lets's calculate GCF of 2713,2636
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2713,2636 By Matching Biggest Common Factor Method
Now, list down the factors of 2713
:1,2713
Now, list down the factors of 2636
:1,2,4,659,1318,2636
Greatest Common Factor
We found the factors 2713,2636 . The biggest common factor number is the GCF number.
So the greatest common factor 2713,2636 is 1.
Lets's calculate LCM of 183,494
Given numbers has no common factors except 1. So, there LCM is their product i.e 90402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90402
Therefore, the GCF of Fractions 2713/183,2636/494 is 1/90402
Least Common Multiple of 183,494 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 183,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,494) x common factors =1 x 1 = 1
LCM(183,494) = ( 183 × 494 ) / 1
LCM(183,494) = 90402 / 1
LCM(183,494) = 90402
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FAQs on GCF of Fractions of 2713/183, 2636/494
1. What is the HCF of 2713,2636?
The HCF of 2713,2636 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 2713/183, 2636/494?
Answer: GCF of Numerators as per given numbers 2713/183, 2636/494 is
GCF of Numerators i.e. for 2713,2636 is 1
LCM of denominators i.e. for 183,494 is 90402.
Thus, GCF of Fractions is 1/90402.Finally, GCF of Fractions for 2713/183, 2636/494 is 1/90402.