GCF of 7463/682, 6366/9484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7463/682, 6366/9484 i.e 1/3234044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7463/682, 6366/9484.
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 7463/682,6366/9484?
Given fractions are 7463/682,6366/9484
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 7463/682,6366/9484, numerators are 7463,6366
Denominators are 682,9484
The GCF of 7463,6366 is 1 .
LCM of 682,9484 is 3234044.
The greatest common factor of 7463/682,6366/9484 = [GCF of 7463,6366]/[LCM of 682,9484]= 1/3234044
Therefore, the GCF of 7463/682,6366/9484 is 1/3234044.
To find the highest common factor of 7463,6366, we have to find the factors of both numbers and list the highest common factor.
The factors of 7463 are 1, 17, 439, 7463
The factors of 6366 are 1, 2, 3, 6, 1061, 2122, 3183, 6366
The HCF of 7463,6366 is 1.
Lets's calculate GCF of 7463,6366
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7463,6366 By Matching Biggest Common Factor Method
Now, list down the factors of 7463
:1,17,439,7463
Now, list down the factors of 6366
:1,2,3,6,1061,2122,3183,6366
Greatest Common Factor
We found the factors 7463,6366 . The biggest common factor number is the GCF number.
So the greatest common factor 7463,6366 is 1.
Lets's calculate LCM of 682,9484
| 2 | 682, 9484 |
| 341, 4742 |
∴ So the LCM of the given numbers is 2 x 341 x 4742 = 3234044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3234044
Therefore, the GCF of Fractions 7463/682,6366/9484 is 1/3234044
Least Common Multiple of 682,9484 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 682,9484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,9484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,9484) x common factors =2 x 1 = 2
LCM(682,9484) = ( 682 × 9484 ) / 2
LCM(682,9484) = 6468088 / 2
LCM(682,9484) = 3234044
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FAQs on GCF of Fractions of 7463/682, 6366/9484
1. What is the HCF of 7463,6366?
The HCF of 7463,6366 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 7463/682, 6366/9484?
Answer: GCF of Numerators as per given numbers 7463/682, 6366/9484 is
GCF of Numerators i.e. for 7463,6366 is 1
LCM of denominators i.e. for 682,9484 is 3234044.
Thus, GCF of Fractions is 1/3234044.Finally, GCF of Fractions for 7463/682, 6366/9484 is 1/3234044.