Use our free GCF of Fractions Calculator tool to compute the GCF of 28/253, 410/523, 347/910 i.e 1/120410290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/253, 410/523, 347/910.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/253,410/523,347/910
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 28/253,410/523,347/910, numerators are 28,410,347
Denominators are 253,523,910
The GCF of 28,410,347 is 1 .
LCM of 253,523,910 is 120410290.
The greatest common factor of 28/253,410/523,347/910 = [GCF of 28,410,347]/[LCM of 253,523,910]= 1/120410290
Therefore, the GCF of 28/253,410/523,347/910 is 1/120410290.
To find the highest common factor of 28,410,347, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 347 are 1, 347
The HCF of 28,410,347 is 1.
Lets's calculate GCF of 28,410,347
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 347
:1,347
Greatest Common Factor
We found the factors 28,410,347 . The biggest common factor number is the GCF number.
So the greatest common factor 28,410,347 is 1.
Lets's calculate LCM of 253,523,910
Given numbers has no common factors except 1. So, there LCM is their product i.e 120410290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120410290
Therefore, the GCF of Fractions 28/253,410/523,347/910 is 1/120410290
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 253,523,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,523,910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,523,910) x common factors =1 x 1 = 1
LCM(253,523,910) = ( 253 × 523 × 910 ) / 1
LCM(253,523,910) = 120410290 / 1
LCM(253,523,910) = 120410290
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,410,347?
The HCF of 28,410,347 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 28/253, 410/523, 347/910?
Answer: GCF of Numerators as per given numbers 28/253, 410/523, 347/910 is
GCF of Numerators i.e. for 28,410,347 is 1
LCM of denominators i.e. for 253,523,910 is 120410290.
Thus, GCF of Fractions is 1/120410290.Finally, GCF of Fractions for 28/253, 410/523, 347/910 is 1/120410290.