Use our free GCF of Fractions Calculator tool to compute the GCF of 5175/986, 3683/7223 i.e 1/7121878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5175/986, 3683/7223.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5175/986,3683/7223
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 5175/986,3683/7223, numerators are 5175,3683
Denominators are 986,7223
The GCF of 5175,3683 is 1 .
LCM of 986,7223 is 7121878.
The greatest common factor of 5175/986,3683/7223 = [GCF of 5175,3683]/[LCM of 986,7223]= 1/7121878
Therefore, the GCF of 5175/986,3683/7223 is 1/7121878.
To find the highest common factor of 5175,3683, we have to find the factors of both numbers and list the highest common factor.
The factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175
The factors of 3683 are 1, 29, 127, 3683
The HCF of 5175,3683 is 1.
Lets's calculate GCF of 5175,3683
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5175
:1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175
Now, list down the factors of 3683
:1,29,127,3683
Greatest Common Factor
We found the factors 5175,3683 . The biggest common factor number is the GCF number.
So the greatest common factor 5175,3683 is 1.
Lets's calculate LCM of 986,7223
Given numbers has no common factors except 1. So, there LCM is their product i.e 7121878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7121878
Therefore, the GCF of Fractions 5175/986,3683/7223 is 1/7121878
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 986,7223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,7223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,7223) x common factors =1 x 1 = 1
LCM(986,7223) = ( 986 × 7223 ) / 1
LCM(986,7223) = 7121878 / 1
LCM(986,7223) = 7121878
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5175,3683?
The HCF of 5175,3683 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 5175/986, 3683/7223?
Answer: GCF of Numerators as per given numbers 5175/986, 3683/7223 is
GCF of Numerators i.e. for 5175,3683 is 1
LCM of denominators i.e. for 986,7223 is 7121878.
Thus, GCF of Fractions is 1/7121878.Finally, GCF of Fractions for 5175/986, 3683/7223 is 1/7121878.