GCF of 6402/464, 4947/6935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6402/464, 4947/6935 i.e 291/3217840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6402/464, 4947/6935.
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 6402/464,4947/6935?
Given fractions are 6402/464,4947/6935
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 6402/464,4947/6935, numerators are 6402,4947
Denominators are 464,6935
The GCF of 6402,4947 is 291 .
LCM of 464,6935 is 3217840.
The greatest common factor of 6402/464,4947/6935 = [GCF of 6402,4947]/[LCM of 464,6935]= 291/3217840
Therefore, the GCF of 6402/464,4947/6935 is 291/3217840.
To find the highest common factor of 6402,4947, we have to find the factors of both numbers and list the highest common factor.
The factors of 6402 are 1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402
The factors of 4947 are 1, 3, 17, 51, 97, 291, 1649, 4947
The HCF of 6402,4947 is 291.
Lets's calculate GCF of 6402,4947
| 3 | 6402, 4947 |
| 97 | 2134, 1649 |
| 22, 17 |
∴ So the GCF of the given numbers is 3 x 97 = 291
Greatest Common Factor of 6402,4947 By Matching Biggest Common Factor Method
Now, list down the factors of 6402
:1,2,3,6,11,22,33,66,97,194,291,582,1067,2134,3201,6402
Now, list down the factors of 4947
:1,3,17,51,97,291,1649,4947
Greatest Common Factor
We found the factors 6402,4947 . The biggest common factor number is the GCF number.
So the greatest common factor 6402,4947 is 291.
Lets's calculate LCM of 464,6935
Given numbers has no common factors except 1. So, there LCM is their product i.e 3217840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 291/3217840
Therefore, the GCF of Fractions 6402/464,4947/6935 is 291/3217840
Least Common Multiple of 464,6935 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 464,6935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,6935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,6935) x common factors =1 x 1 = 1
LCM(464,6935) = ( 464 × 6935 ) / 1
LCM(464,6935) = 3217840 / 1
LCM(464,6935) = 3217840
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6402/464, 4947/6935
1. What is the HCF of 6402,4947?
The HCF of 6402,4947 is 291
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 6402/464, 4947/6935?
Answer: GCF of Numerators as per given numbers 6402/464, 4947/6935 is
GCF of Numerators i.e. for 6402,4947 is 291
LCM of denominators i.e. for 464,6935 is 3217840.
Thus, GCF of Fractions is 291/3217840.Finally, GCF of Fractions for 6402/464, 4947/6935 is 291/3217840.