GCF of 1713/861, 1466/4965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1713/861, 1466/4965 i.e 1/1424955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1713/861, 1466/4965.
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 1713/861,1466/4965?
Given fractions are 1713/861,1466/4965
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 1713/861,1466/4965, numerators are 1713,1466
Denominators are 861,4965
The GCF of 1713,1466 is 1 .
LCM of 861,4965 is 1424955.
The greatest common factor of 1713/861,1466/4965 = [GCF of 1713,1466]/[LCM of 861,4965]= 1/1424955
Therefore, the GCF of 1713/861,1466/4965 is 1/1424955.
To find the highest common factor of 1713,1466, we have to find the factors of both numbers and list the highest common factor.
The factors of 1713 are 1, 3, 571, 1713
The factors of 1466 are 1, 2, 733, 1466
The HCF of 1713,1466 is 1.
Lets's calculate GCF of 1713,1466
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1713,1466 By Matching Biggest Common Factor Method
Now, list down the factors of 1713
:1,3,571,1713
Now, list down the factors of 1466
:1,2,733,1466
Greatest Common Factor
We found the factors 1713,1466 . The biggest common factor number is the GCF number.
So the greatest common factor 1713,1466 is 1.
Lets's calculate LCM of 861,4965
| 3 | 861, 4965 |
| 287, 1655 |
∴ So the LCM of the given numbers is 3 x 287 x 1655 = 1424955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1424955
Therefore, the GCF of Fractions 1713/861,1466/4965 is 1/1424955
Least Common Multiple of 861,4965 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 861,4965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,4965) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,4965) x common factors =3 x 1 = 3
LCM(861,4965) = ( 861 × 4965 ) / 3
LCM(861,4965) = 4274865 / 3
LCM(861,4965) = 1424955
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FAQs on GCF of Fractions of 1713/861, 1466/4965
1. What is the HCF of 1713,1466?
The HCF of 1713,1466 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 1713/861, 1466/4965?
Answer: GCF of Numerators as per given numbers 1713/861, 1466/4965 is
GCF of Numerators i.e. for 1713,1466 is 1
LCM of denominators i.e. for 861,4965 is 1424955.
Thus, GCF of Fractions is 1/1424955.Finally, GCF of Fractions for 1713/861, 1466/4965 is 1/1424955.