GCF of 3963/480, 1529/6937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3963/480, 1529/6937 i.e 1/3329760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3963/480, 1529/6937.
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 3963/480,1529/6937?
Given fractions are 3963/480,1529/6937
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 3963/480,1529/6937, numerators are 3963,1529
Denominators are 480,6937
The GCF of 3963,1529 is 1 .
LCM of 480,6937 is 3329760.
The greatest common factor of 3963/480,1529/6937 = [GCF of 3963,1529]/[LCM of 480,6937]= 1/3329760
Therefore, the GCF of 3963/480,1529/6937 is 1/3329760.
To find the highest common factor of 3963,1529, we have to find the factors of both numbers and list the highest common factor.
The factors of 3963 are 1, 3, 1321, 3963
The factors of 1529 are 1, 11, 139, 1529
The HCF of 3963,1529 is 1.
Lets's calculate GCF of 3963,1529
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3963,1529 By Matching Biggest Common Factor Method
Now, list down the factors of 3963
:1,3,1321,3963
Now, list down the factors of 1529
:1,11,139,1529
Greatest Common Factor
We found the factors 3963,1529 . The biggest common factor number is the GCF number.
So the greatest common factor 3963,1529 is 1.
Lets's calculate LCM of 480,6937
Given numbers has no common factors except 1. So, there LCM is their product i.e 3329760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3329760
Therefore, the GCF of Fractions 3963/480,1529/6937 is 1/3329760
Least Common Multiple of 480,6937 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 480,6937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,6937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(480,6937) x common factors =1 x 1 = 1
LCM(480,6937) = ( 480 × 6937 ) / 1
LCM(480,6937) = 3329760 / 1
LCM(480,6937) = 3329760
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FAQs on GCF of Fractions of 3963/480, 1529/6937
1. What is the HCF of 3963,1529?
The HCF of 3963,1529 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 3963/480, 1529/6937?
Answer: GCF of Numerators as per given numbers 3963/480, 1529/6937 is
GCF of Numerators i.e. for 3963,1529 is 1
LCM of denominators i.e. for 480,6937 is 3329760.
Thus, GCF of Fractions is 1/3329760.Finally, GCF of Fractions for 3963/480, 1529/6937 is 1/3329760.