Use our free GCF of Fractions Calculator tool to compute the GCF of 4269/177, 4028/5908 i.e 1/1045716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4269/177, 4028/5908.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4269/177,4028/5908
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 4269/177,4028/5908, numerators are 4269,4028
Denominators are 177,5908
The GCF of 4269,4028 is 1 .
LCM of 177,5908 is 1045716.
The greatest common factor of 4269/177,4028/5908 = [GCF of 4269,4028]/[LCM of 177,5908]= 1/1045716
Therefore, the GCF of 4269/177,4028/5908 is 1/1045716.
To find the highest common factor of 4269,4028, we have to find the factors of both numbers and list the highest common factor.
The factors of 4269 are 1, 3, 1423, 4269
The factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028
The HCF of 4269,4028 is 1.
Lets's calculate GCF of 4269,4028
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4269
:1,3,1423,4269
Now, list down the factors of 4028
:1,2,4,19,38,53,76,106,212,1007,2014,4028
Greatest Common Factor
We found the factors 4269,4028 . The biggest common factor number is the GCF number.
So the greatest common factor 4269,4028 is 1.
Lets's calculate LCM of 177,5908
Given numbers has no common factors except 1. So, there LCM is their product i.e 1045716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1045716
Therefore, the GCF of Fractions 4269/177,4028/5908 is 1/1045716
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 177,5908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,5908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,5908) x common factors =1 x 1 = 1
LCM(177,5908) = ( 177 × 5908 ) / 1
LCM(177,5908) = 1045716 / 1
LCM(177,5908) = 1045716
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4269,4028?
The HCF of 4269,4028 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 4269/177, 4028/5908?
Answer: GCF of Numerators as per given numbers 4269/177, 4028/5908 is
GCF of Numerators i.e. for 4269,4028 is 1
LCM of denominators i.e. for 177,5908 is 1045716.
Thus, GCF of Fractions is 1/1045716.Finally, GCF of Fractions for 4269/177, 4028/5908 is 1/1045716.