GCF of 5965/734, 8210/9784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5965/734, 8210/9784 i.e 5/3590728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5965/734, 8210/9784.
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 5965/734,8210/9784?
Given fractions are 5965/734,8210/9784
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 5965/734,8210/9784, numerators are 5965,8210
Denominators are 734,9784
The GCF of 5965,8210 is 5 .
LCM of 734,9784 is 3590728.
The greatest common factor of 5965/734,8210/9784 = [GCF of 5965,8210]/[LCM of 734,9784]= 5/3590728
Therefore, the GCF of 5965/734,8210/9784 is 5/3590728.
To find the highest common factor of 5965,8210, we have to find the factors of both numbers and list the highest common factor.
The factors of 5965 are 1, 5, 1193, 5965
The factors of 8210 are 1, 2, 5, 10, 821, 1642, 4105, 8210
The HCF of 5965,8210 is 5.
Lets's calculate GCF of 5965,8210
| 5 | 5965, 8210 |
| 1193, 1642 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5965,8210 By Matching Biggest Common Factor Method
Now, list down the factors of 5965
:1,5,1193,5965
Now, list down the factors of 8210
:1,2,5,10,821,1642,4105,8210
Greatest Common Factor
We found the factors 5965,8210 . The biggest common factor number is the GCF number.
So the greatest common factor 5965,8210 is 5.
Lets's calculate LCM of 734,9784
| 2 | 734, 9784 |
| 367, 4892 |
∴ So the LCM of the given numbers is 2 x 367 x 4892 = 3590728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3590728
Therefore, the GCF of Fractions 5965/734,8210/9784 is 5/3590728
Least Common Multiple of 734,9784 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 734,9784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,9784) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,9784) x common factors =2 x 1 = 2
LCM(734,9784) = ( 734 × 9784 ) / 2
LCM(734,9784) = 7181456 / 2
LCM(734,9784) = 3590728
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FAQs on GCF of Fractions of 5965/734, 8210/9784
1. What is the HCF of 5965,8210?
The HCF of 5965,8210 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 5965/734, 8210/9784?
Answer: GCF of Numerators as per given numbers 5965/734, 8210/9784 is
GCF of Numerators i.e. for 5965,8210 is 5
LCM of denominators i.e. for 734,9784 is 3590728.
Thus, GCF of Fractions is 5/3590728.Finally, GCF of Fractions for 5965/734, 8210/9784 is 5/3590728.