GCF of 1966/349, 5463/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1966/349, 5463/960 i.e 1/335040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1966/349, 5463/960.
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 1966/349,5463/960?
Given fractions are 1966/349,5463/960
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 1966/349,5463/960, numerators are 1966,5463
Denominators are 349,960
The GCF of 1966,5463 is 1 .
LCM of 349,960 is 335040.
The greatest common factor of 1966/349,5463/960 = [GCF of 1966,5463]/[LCM of 349,960]= 1/335040
Therefore, the GCF of 1966/349,5463/960 is 1/335040.
To find the highest common factor of 1966,5463, we have to find the factors of both numbers and list the highest common factor.
The factors of 1966 are 1, 2, 983, 1966
The factors of 5463 are 1, 3, 9, 607, 1821, 5463
The HCF of 1966,5463 is 1.
Lets's calculate GCF of 1966,5463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1966,5463 By Matching Biggest Common Factor Method
Now, list down the factors of 1966
:1,2,983,1966
Now, list down the factors of 5463
:1,3,9,607,1821,5463
Greatest Common Factor
We found the factors 1966,5463 . The biggest common factor number is the GCF number.
So the greatest common factor 1966,5463 is 1.
Lets's calculate LCM of 349,960
Given numbers has no common factors except 1. So, there LCM is their product i.e 335040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335040
Therefore, the GCF of Fractions 1966/349,5463/960 is 1/335040
Least Common Multiple of 349,960 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 349,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,960) x common factors =1 x 1 = 1
LCM(349,960) = ( 349 × 960 ) / 1
LCM(349,960) = 335040 / 1
LCM(349,960) = 335040
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FAQs on GCF of Fractions of 1966/349, 5463/960
1. What is the HCF of 1966,5463?
The HCF of 1966,5463 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 1966/349, 5463/960?
Answer: GCF of Numerators as per given numbers 1966/349, 5463/960 is
GCF of Numerators i.e. for 1966,5463 is 1
LCM of denominators i.e. for 349,960 is 335040.
Thus, GCF of Fractions is 1/335040.Finally, GCF of Fractions for 1966/349, 5463/960 is 1/335040.