GCF of 5317/764, 3406/3962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5317/764, 3406/3962 i.e 13/1513484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5317/764, 3406/3962.
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 5317/764,3406/3962?
Given fractions are 5317/764,3406/3962
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 5317/764,3406/3962, numerators are 5317,3406
Denominators are 764,3962
The GCF of 5317,3406 is 13 .
LCM of 764,3962 is 1513484.
The greatest common factor of 5317/764,3406/3962 = [GCF of 5317,3406]/[LCM of 764,3962]= 13/1513484
Therefore, the GCF of 5317/764,3406/3962 is 13/1513484.
To find the highest common factor of 5317,3406, we have to find the factors of both numbers and list the highest common factor.
The factors of 5317 are 1, 13, 409, 5317
The factors of 3406 are 1, 2, 13, 26, 131, 262, 1703, 3406
The HCF of 5317,3406 is 13.
Lets's calculate GCF of 5317,3406
| 13 | 5317, 3406 |
| 409, 262 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5317,3406 By Matching Biggest Common Factor Method
Now, list down the factors of 5317
:1,13,409,5317
Now, list down the factors of 3406
:1,2,13,26,131,262,1703,3406
Greatest Common Factor
We found the factors 5317,3406 . The biggest common factor number is the GCF number.
So the greatest common factor 5317,3406 is 13.
Lets's calculate LCM of 764,3962
| 2 | 764, 3962 |
| 382, 1981 |
∴ So the LCM of the given numbers is 2 x 382 x 1981 = 1513484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1513484
Therefore, the GCF of Fractions 5317/764,3406/3962 is 13/1513484
Least Common Multiple of 764,3962 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 764,3962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,3962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,3962) x common factors =2 x 1 = 2
LCM(764,3962) = ( 764 × 3962 ) / 2
LCM(764,3962) = 3026968 / 2
LCM(764,3962) = 1513484
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FAQs on GCF of Fractions of 5317/764, 3406/3962
1. What is the HCF of 5317,3406?
The HCF of 5317,3406 is 13
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 5317/764, 3406/3962?
Answer: GCF of Numerators as per given numbers 5317/764, 3406/3962 is
GCF of Numerators i.e. for 5317,3406 is 13
LCM of denominators i.e. for 764,3962 is 1513484.
Thus, GCF of Fractions is 13/1513484.Finally, GCF of Fractions for 5317/764, 3406/3962 is 13/1513484.