Use our free GCF of Fractions Calculator tool to compute the GCF of 4535/326, 3098/5127 i.e 1/1671402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4535/326, 3098/5127.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4535/326,3098/5127
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 4535/326,3098/5127, numerators are 4535,3098
Denominators are 326,5127
The GCF of 4535,3098 is 1 .
LCM of 326,5127 is 1671402.
The greatest common factor of 4535/326,3098/5127 = [GCF of 4535,3098]/[LCM of 326,5127]= 1/1671402
Therefore, the GCF of 4535/326,3098/5127 is 1/1671402.
To find the highest common factor of 4535,3098, we have to find the factors of both numbers and list the highest common factor.
The factors of 4535 are 1, 5, 907, 4535
The factors of 3098 are 1, 2, 1549, 3098
The HCF of 4535,3098 is 1.
Lets's calculate GCF of 4535,3098
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4535
:1,5,907,4535
Now, list down the factors of 3098
:1,2,1549,3098
Greatest Common Factor
We found the factors 4535,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 4535,3098 is 1.
Lets's calculate LCM of 326,5127
Given numbers has no common factors except 1. So, there LCM is their product i.e 1671402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1671402
Therefore, the GCF of Fractions 4535/326,3098/5127 is 1/1671402
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 326,5127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,5127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,5127) x common factors =1 x 1 = 1
LCM(326,5127) = ( 326 × 5127 ) / 1
LCM(326,5127) = 1671402 / 1
LCM(326,5127) = 1671402
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4535,3098?
The HCF of 4535,3098 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 4535/326, 3098/5127?
Answer: GCF of Numerators as per given numbers 4535/326, 3098/5127 is
GCF of Numerators i.e. for 4535,3098 is 1
LCM of denominators i.e. for 326,5127 is 1671402.
Thus, GCF of Fractions is 1/1671402.Finally, GCF of Fractions for 4535/326, 3098/5127 is 1/1671402.