GCF of 5746/510, 5905/691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5746/510, 5905/691 i.e 1/352410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5746/510, 5905/691.
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 5746/510,5905/691?
Given fractions are 5746/510,5905/691
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 5746/510,5905/691, numerators are 5746,5905
Denominators are 510,691
The GCF of 5746,5905 is 1 .
LCM of 510,691 is 352410.
The greatest common factor of 5746/510,5905/691 = [GCF of 5746,5905]/[LCM of 510,691]= 1/352410
Therefore, the GCF of 5746/510,5905/691 is 1/352410.
To find the highest common factor of 5746,5905, we have to find the factors of both numbers and list the highest common factor.
The factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746
The factors of 5905 are 1, 5, 1181, 5905
The HCF of 5746,5905 is 1.
Lets's calculate GCF of 5746,5905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5746,5905 By Matching Biggest Common Factor Method
Now, list down the factors of 5746
:1,2,13,17,26,34,169,221,338,442,2873,5746
Now, list down the factors of 5905
:1,5,1181,5905
Greatest Common Factor
We found the factors 5746,5905 . The biggest common factor number is the GCF number.
So the greatest common factor 5746,5905 is 1.
Lets's calculate LCM of 510,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 352410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352410
Therefore, the GCF of Fractions 5746/510,5905/691 is 1/352410
Least Common Multiple of 510,691 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 510,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(510,691) x common factors =1 x 1 = 1
LCM(510,691) = ( 510 × 691 ) / 1
LCM(510,691) = 352410 / 1
LCM(510,691) = 352410
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FAQs on GCF of Fractions of 5746/510, 5905/691
1. What is the HCF of 5746,5905?
The HCF of 5746,5905 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 5746/510, 5905/691?
Answer: GCF of Numerators as per given numbers 5746/510, 5905/691 is
GCF of Numerators i.e. for 5746,5905 is 1
LCM of denominators i.e. for 510,691 is 352410.
Thus, GCF of Fractions is 1/352410.Finally, GCF of Fractions for 5746/510, 5905/691 is 1/352410.