GCF of 1965/284, 6490/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1965/284, 6490/517 i.e 5/146828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1965/284, 6490/517.
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 1965/284,6490/517?
Given fractions are 1965/284,6490/517
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 1965/284,6490/517, numerators are 1965,6490
Denominators are 284,517
The GCF of 1965,6490 is 5 .
LCM of 284,517 is 146828.
The greatest common factor of 1965/284,6490/517 = [GCF of 1965,6490]/[LCM of 284,517]= 5/146828
Therefore, the GCF of 1965/284,6490/517 is 5/146828.
To find the highest common factor of 1965,6490, we have to find the factors of both numbers and list the highest common factor.
The factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965
The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490
The HCF of 1965,6490 is 5.
Lets's calculate GCF of 1965,6490
| 5 | 1965, 6490 |
| 393, 1298 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1965,6490 By Matching Biggest Common Factor Method
Now, list down the factors of 1965
:1,3,5,15,131,393,655,1965
Now, list down the factors of 6490
:1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 1965,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 1965,6490 is 5.
Lets's calculate LCM of 284,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 146828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/146828
Therefore, the GCF of Fractions 1965/284,6490/517 is 5/146828
Least Common Multiple of 284,517 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 284,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,517) x common factors =1 x 1 = 1
LCM(284,517) = ( 284 × 517 ) / 1
LCM(284,517) = 146828 / 1
LCM(284,517) = 146828
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FAQs on GCF of Fractions of 1965/284, 6490/517
1. What is the HCF of 1965,6490?
The HCF of 1965,6490 is 5
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 1965/284, 6490/517?
Answer: GCF of Numerators as per given numbers 1965/284, 6490/517 is
GCF of Numerators i.e. for 1965,6490 is 5
LCM of denominators i.e. for 284,517 is 146828.
Thus, GCF of Fractions is 5/146828.Finally, GCF of Fractions for 1965/284, 6490/517 is 5/146828.