Use our free GCF of Fractions Calculator tool to compute the GCF of 5669/225, 8874/3953 i.e 1/889425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5669/225, 8874/3953.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5669/225,8874/3953
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 5669/225,8874/3953, numerators are 5669,8874
Denominators are 225,3953
The GCF of 5669,8874 is 1 .
LCM of 225,3953 is 889425.
The greatest common factor of 5669/225,8874/3953 = [GCF of 5669,8874]/[LCM of 225,3953]= 1/889425
Therefore, the GCF of 5669/225,8874/3953 is 1/889425.
To find the highest common factor of 5669,8874, we have to find the factors of both numbers and list the highest common factor.
The factors of 5669 are 1, 5669
The factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874
The HCF of 5669,8874 is 1.
Lets's calculate GCF of 5669,8874
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5669
:1,5669
Now, list down the factors of 8874
:1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874
Greatest Common Factor
We found the factors 5669,8874 . The biggest common factor number is the GCF number.
So the greatest common factor 5669,8874 is 1.
Lets's calculate LCM of 225,3953
Given numbers has no common factors except 1. So, there LCM is their product i.e 889425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/889425
Therefore, the GCF of Fractions 5669/225,8874/3953 is 1/889425
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 225,3953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,3953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(225,3953) x common factors =1 x 1 = 1
LCM(225,3953) = ( 225 × 3953 ) / 1
LCM(225,3953) = 889425 / 1
LCM(225,3953) = 889425
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5669,8874?
The HCF of 5669,8874 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 5669/225, 8874/3953?
Answer: GCF of Numerators as per given numbers 5669/225, 8874/3953 is
GCF of Numerators i.e. for 5669,8874 is 1
LCM of denominators i.e. for 225,3953 is 889425.
Thus, GCF of Fractions is 1/889425.Finally, GCF of Fractions for 5669/225, 8874/3953 is 1/889425.