GCF of 6791/286, 3647/3650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6791/286, 3647/3650 i.e 1/521950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6791/286, 3647/3650.
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 6791/286,3647/3650?
Given fractions are 6791/286,3647/3650
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 6791/286,3647/3650, numerators are 6791,3647
Denominators are 286,3650
The GCF of 6791,3647 is 1 .
LCM of 286,3650 is 521950.
The greatest common factor of 6791/286,3647/3650 = [GCF of 6791,3647]/[LCM of 286,3650]= 1/521950
Therefore, the GCF of 6791/286,3647/3650 is 1/521950.
To find the highest common factor of 6791,3647, we have to find the factors of both numbers and list the highest common factor.
The factors of 6791 are 1, 6791
The factors of 3647 are 1, 7, 521, 3647
The HCF of 6791,3647 is 1.
Lets's calculate GCF of 6791,3647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6791,3647 By Matching Biggest Common Factor Method
Now, list down the factors of 6791
:1,6791
Now, list down the factors of 3647
:1,7,521,3647
Greatest Common Factor
We found the factors 6791,3647 . The biggest common factor number is the GCF number.
So the greatest common factor 6791,3647 is 1.
Lets's calculate LCM of 286,3650
| 2 | 286, 3650 |
| 143, 1825 |
∴ So the LCM of the given numbers is 2 x 143 x 1825 = 521950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521950
Therefore, the GCF of Fractions 6791/286,3647/3650 is 1/521950
Least Common Multiple of 286,3650 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 286,3650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,3650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,3650) x common factors =2 x 1 = 2
LCM(286,3650) = ( 286 × 3650 ) / 2
LCM(286,3650) = 1043900 / 2
LCM(286,3650) = 521950
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6791/286, 3647/3650
1. What is the HCF of 6791,3647?
The HCF of 6791,3647 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 6791/286, 3647/3650?
Answer: GCF of Numerators as per given numbers 6791/286, 3647/3650 is
GCF of Numerators i.e. for 6791,3647 is 1
LCM of denominators i.e. for 286,3650 is 521950.
Thus, GCF of Fractions is 1/521950.Finally, GCF of Fractions for 6791/286, 3647/3650 is 1/521950.