Use our free GCF of Fractions Calculator tool to compute the GCF of 9283/686, 3659/1299 i.e 1/891114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9283/686, 3659/1299.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9283/686,3659/1299
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 9283/686,3659/1299, numerators are 9283,3659
Denominators are 686,1299
The GCF of 9283,3659 is 1 .
LCM of 686,1299 is 891114.
The greatest common factor of 9283/686,3659/1299 = [GCF of 9283,3659]/[LCM of 686,1299]= 1/891114
Therefore, the GCF of 9283/686,3659/1299 is 1/891114.
To find the highest common factor of 9283,3659, we have to find the factors of both numbers and list the highest common factor.
The factors of 9283 are 1, 9283
The factors of 3659 are 1, 3659
The HCF of 9283,3659 is 1.
Lets's calculate GCF of 9283,3659
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9283
:1,9283
Now, list down the factors of 3659
:1,3659
Greatest Common Factor
We found the factors 9283,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 9283,3659 is 1.
Lets's calculate LCM of 686,1299
Given numbers has no common factors except 1. So, there LCM is their product i.e 891114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891114
Therefore, the GCF of Fractions 9283/686,3659/1299 is 1/891114
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 686,1299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,1299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,1299) x common factors =1 x 1 = 1
LCM(686,1299) = ( 686 × 1299 ) / 1
LCM(686,1299) = 891114 / 1
LCM(686,1299) = 891114
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9283,3659?
The HCF of 9283,3659 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 9283/686, 3659/1299?
Answer: GCF of Numerators as per given numbers 9283/686, 3659/1299 is
GCF of Numerators i.e. for 9283,3659 is 1
LCM of denominators i.e. for 686,1299 is 891114.
Thus, GCF of Fractions is 1/891114.Finally, GCF of Fractions for 9283/686, 3659/1299 is 1/891114.