Use our free GCF of Fractions Calculator tool to compute the GCF of 2377/110, 7634/4559 i.e 1/501490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2377/110, 7634/4559.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2377/110,7634/4559
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 2377/110,7634/4559, numerators are 2377,7634
Denominators are 110,4559
The GCF of 2377,7634 is 1 .
LCM of 110,4559 is 501490.
The greatest common factor of 2377/110,7634/4559 = [GCF of 2377,7634]/[LCM of 110,4559]= 1/501490
Therefore, the GCF of 2377/110,7634/4559 is 1/501490.
To find the highest common factor of 2377,7634, we have to find the factors of both numbers and list the highest common factor.
The factors of 2377 are 1, 2377
The factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634
The HCF of 2377,7634 is 1.
Lets's calculate GCF of 2377,7634
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2377
:1,2377
Now, list down the factors of 7634
:1,2,11,22,347,694,3817,7634
Greatest Common Factor
We found the factors 2377,7634 . The biggest common factor number is the GCF number.
So the greatest common factor 2377,7634 is 1.
Lets's calculate LCM of 110,4559
Given numbers has no common factors except 1. So, there LCM is their product i.e 501490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501490
Therefore, the GCF of Fractions 2377/110,7634/4559 is 1/501490
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 110,4559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,4559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(110,4559) x common factors =1 x 1 = 1
LCM(110,4559) = ( 110 × 4559 ) / 1
LCM(110,4559) = 501490 / 1
LCM(110,4559) = 501490
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2377,7634?
The HCF of 2377,7634 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 2377/110, 7634/4559?
Answer: GCF of Numerators as per given numbers 2377/110, 7634/4559 is
GCF of Numerators i.e. for 2377,7634 is 1
LCM of denominators i.e. for 110,4559 is 501490.
Thus, GCF of Fractions is 1/501490.Finally, GCF of Fractions for 2377/110, 7634/4559 is 1/501490.