GCF of 2713/340, 3961/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2713/340, 3961/418 i.e 1/71060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2713/340, 3961/418.
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 2713/340,3961/418?
Given fractions are 2713/340,3961/418
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 2713/340,3961/418, numerators are 2713,3961
Denominators are 340,418
The GCF of 2713,3961 is 1 .
LCM of 340,418 is 71060.
The greatest common factor of 2713/340,3961/418 = [GCF of 2713,3961]/[LCM of 340,418]= 1/71060
Therefore, the GCF of 2713/340,3961/418 is 1/71060.
To find the highest common factor of 2713,3961, 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 3961 are 1, 17, 233, 3961
The HCF of 2713,3961 is 1.
Lets's calculate GCF of 2713,3961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2713,3961 By Matching Biggest Common Factor Method
Now, list down the factors of 2713
:1,2713
Now, list down the factors of 3961
:1,17,233,3961
Greatest Common Factor
We found the factors 2713,3961 . The biggest common factor number is the GCF number.
So the greatest common factor 2713,3961 is 1.
Lets's calculate LCM of 340,418
| 2 | 340, 418 |
| 170, 209 |
∴ So the LCM of the given numbers is 2 x 170 x 209 = 71060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71060
Therefore, the GCF of Fractions 2713/340,3961/418 is 1/71060
Least Common Multiple of 340,418 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 340,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(340,418) x common factors =2 x 1 = 2
LCM(340,418) = ( 340 × 418 ) / 2
LCM(340,418) = 142120 / 2
LCM(340,418) = 71060
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FAQs on GCF of Fractions of 2713/340, 3961/418
1. What is the HCF of 2713,3961?
The HCF of 2713,3961 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 2713/340, 3961/418?
Answer: GCF of Numerators as per given numbers 2713/340, 3961/418 is
GCF of Numerators i.e. for 2713,3961 is 1
LCM of denominators i.e. for 340,418 is 71060.
Thus, GCF of Fractions is 1/71060.Finally, GCF of Fractions for 2713/340, 3961/418 is 1/71060.