GCF of 1541/313, 6730/6464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1541/313, 6730/6464 i.e 1/2023232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1541/313, 6730/6464.
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 1541/313,6730/6464?
Given fractions are 1541/313,6730/6464
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 1541/313,6730/6464, numerators are 1541,6730
Denominators are 313,6464
The GCF of 1541,6730 is 1 .
LCM of 313,6464 is 2023232.
The greatest common factor of 1541/313,6730/6464 = [GCF of 1541,6730]/[LCM of 313,6464]= 1/2023232
Therefore, the GCF of 1541/313,6730/6464 is 1/2023232.
To find the highest common factor of 1541,6730, we have to find the factors of both numbers and list the highest common factor.
The factors of 1541 are 1, 23, 67, 1541
The factors of 6730 are 1, 2, 5, 10, 673, 1346, 3365, 6730
The HCF of 1541,6730 is 1.
Lets's calculate GCF of 1541,6730
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1541,6730 By Matching Biggest Common Factor Method
Now, list down the factors of 1541
:1,23,67,1541
Now, list down the factors of 6730
:1,2,5,10,673,1346,3365,6730
Greatest Common Factor
We found the factors 1541,6730 . The biggest common factor number is the GCF number.
So the greatest common factor 1541,6730 is 1.
Lets's calculate LCM of 313,6464
Given numbers has no common factors except 1. So, there LCM is their product i.e 2023232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2023232
Therefore, the GCF of Fractions 1541/313,6730/6464 is 1/2023232
Least Common Multiple of 313,6464 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 313,6464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,6464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,6464) x common factors =1 x 1 = 1
LCM(313,6464) = ( 313 × 6464 ) / 1
LCM(313,6464) = 2023232 / 1
LCM(313,6464) = 2023232
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FAQs on GCF of Fractions of 1541/313, 6730/6464
1. What is the HCF of 1541,6730?
The HCF of 1541,6730 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 1541/313, 6730/6464?
Answer: GCF of Numerators as per given numbers 1541/313, 6730/6464 is
GCF of Numerators i.e. for 1541,6730 is 1
LCM of denominators i.e. for 313,6464 is 2023232.
Thus, GCF of Fractions is 1/2023232.Finally, GCF of Fractions for 1541/313, 6730/6464 is 1/2023232.