Use our free GCF of Fractions Calculator tool to compute the GCF of 7388/619, 7737/2387 i.e 1/1477553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7388/619, 7737/2387.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7388/619,7737/2387
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 7388/619,7737/2387, numerators are 7388,7737
Denominators are 619,2387
The GCF of 7388,7737 is 1 .
LCM of 619,2387 is 1477553.
The greatest common factor of 7388/619,7737/2387 = [GCF of 7388,7737]/[LCM of 619,2387]= 1/1477553
Therefore, the GCF of 7388/619,7737/2387 is 1/1477553.
To find the highest common factor of 7388,7737, we have to find the factors of both numbers and list the highest common factor.
The factors of 7388 are 1, 2, 4, 1847, 3694, 7388
The factors of 7737 are 1, 3, 2579, 7737
The HCF of 7388,7737 is 1.
Lets's calculate GCF of 7388,7737
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7388
:1,2,4,1847,3694,7388
Now, list down the factors of 7737
:1,3,2579,7737
Greatest Common Factor
We found the factors 7388,7737 . The biggest common factor number is the GCF number.
So the greatest common factor 7388,7737 is 1.
Lets's calculate LCM of 619,2387
Given numbers has no common factors except 1. So, there LCM is their product i.e 1477553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1477553
Therefore, the GCF of Fractions 7388/619,7737/2387 is 1/1477553
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 619,2387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,2387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,2387) x common factors =1 x 1 = 1
LCM(619,2387) = ( 619 × 2387 ) / 1
LCM(619,2387) = 1477553 / 1
LCM(619,2387) = 1477553
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7388,7737?
The HCF of 7388,7737 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 7388/619, 7737/2387?
Answer: GCF of Numerators as per given numbers 7388/619, 7737/2387 is
GCF of Numerators i.e. for 7388,7737 is 1
LCM of denominators i.e. for 619,2387 is 1477553.
Thus, GCF of Fractions is 1/1477553.Finally, GCF of Fractions for 7388/619, 7737/2387 is 1/1477553.