GCF of 3795/286, 6293/5132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3795/286, 6293/5132 i.e 1/733876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3795/286, 6293/5132.
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 3795/286,6293/5132?
Given fractions are 3795/286,6293/5132
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 3795/286,6293/5132, numerators are 3795,6293
Denominators are 286,5132
The GCF of 3795,6293 is 1 .
LCM of 286,5132 is 733876.
The greatest common factor of 3795/286,6293/5132 = [GCF of 3795,6293]/[LCM of 286,5132]= 1/733876
Therefore, the GCF of 3795/286,6293/5132 is 1/733876.
To find the highest common factor of 3795,6293, we have to find the factors of both numbers and list the highest common factor.
The factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795
The factors of 6293 are 1, 7, 29, 31, 203, 217, 899, 6293
The HCF of 3795,6293 is 1.
Lets's calculate GCF of 3795,6293
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3795,6293 By Matching Biggest Common Factor Method
Now, list down the factors of 3795
:1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795
Now, list down the factors of 6293
:1,7,29,31,203,217,899,6293
Greatest Common Factor
We found the factors 3795,6293 . The biggest common factor number is the GCF number.
So the greatest common factor 3795,6293 is 1.
Lets's calculate LCM of 286,5132
| 2 | 286, 5132 |
| 143, 2566 |
∴ So the LCM of the given numbers is 2 x 143 x 2566 = 733876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/733876
Therefore, the GCF of Fractions 3795/286,6293/5132 is 1/733876
Least Common Multiple of 286,5132 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 286,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,5132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,5132) x common factors =2 x 1 = 2
LCM(286,5132) = ( 286 × 5132 ) / 2
LCM(286,5132) = 1467752 / 2
LCM(286,5132) = 733876
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3795/286, 6293/5132
1. What is the HCF of 3795,6293?
The HCF of 3795,6293 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 3795/286, 6293/5132?
Answer: GCF of Numerators as per given numbers 3795/286, 6293/5132 is
GCF of Numerators i.e. for 3795,6293 is 1
LCM of denominators i.e. for 286,5132 is 733876.
Thus, GCF of Fractions is 1/733876.Finally, GCF of Fractions for 3795/286, 6293/5132 is 1/733876.