Use our free GCF of Fractions Calculator tool to compute the GCF of 7723/510, 1387/9289 i.e 1/4737390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7723/510, 1387/9289.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7723/510,1387/9289
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 7723/510,1387/9289, numerators are 7723,1387
Denominators are 510,9289
The GCF of 7723,1387 is 1 .
LCM of 510,9289 is 4737390.
The greatest common factor of 7723/510,1387/9289 = [GCF of 7723,1387]/[LCM of 510,9289]= 1/4737390
Therefore, the GCF of 7723/510,1387/9289 is 1/4737390.
To find the highest common factor of 7723,1387, we have to find the factors of both numbers and list the highest common factor.
The factors of 7723 are 1, 7723
The factors of 1387 are 1, 19, 73, 1387
The HCF of 7723,1387 is 1.
Lets's calculate GCF of 7723,1387
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7723
:1,7723
Now, list down the factors of 1387
:1,19,73,1387
Greatest Common Factor
We found the factors 7723,1387 . The biggest common factor number is the GCF number.
So the greatest common factor 7723,1387 is 1.
Lets's calculate LCM of 510,9289
Given numbers has no common factors except 1. So, there LCM is their product i.e 4737390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4737390
Therefore, the GCF of Fractions 7723/510,1387/9289 is 1/4737390
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 510,9289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,9289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(510,9289) x common factors =1 x 1 = 1
LCM(510,9289) = ( 510 × 9289 ) / 1
LCM(510,9289) = 4737390 / 1
LCM(510,9289) = 4737390
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7723,1387?
The HCF of 7723,1387 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 7723/510, 1387/9289?
Answer: GCF of Numerators as per given numbers 7723/510, 1387/9289 is
GCF of Numerators i.e. for 7723,1387 is 1
LCM of denominators i.e. for 510,9289 is 4737390.
Thus, GCF of Fractions is 1/4737390.Finally, GCF of Fractions for 7723/510, 1387/9289 is 1/4737390.