Use our free GCF of Fractions Calculator tool to compute the GCF of 27/229, 520/877, 128/353 i.e 1/70894049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/229, 520/877, 128/353.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/229,520/877,128/353
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 27/229,520/877,128/353, numerators are 27,520,128
Denominators are 229,877,353
The GCF of 27,520,128 is 1 .
LCM of 229,877,353 is 70894049.
The greatest common factor of 27/229,520/877,128/353 = [GCF of 27,520,128]/[LCM of 229,877,353]= 1/70894049
Therefore, the GCF of 27/229,520/877,128/353 is 1/70894049.
To find the highest common factor of 27,520,128, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The HCF of 27,520,128 is 1.
Lets's calculate GCF of 27,520,128
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 27,520,128 . The biggest common factor number is the GCF number.
So the greatest common factor 27,520,128 is 1.
Lets's calculate LCM of 229,877,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 70894049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70894049
Therefore, the GCF of Fractions 27/229,520/877,128/353 is 1/70894049
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 229,877,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,877,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,877,353) x common factors =1 x 1 = 1
LCM(229,877,353) = ( 229 × 877 × 353 ) / 1
LCM(229,877,353) = 70894049 / 1
LCM(229,877,353) = 70894049
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 27,520,128?
The HCF of 27,520,128 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 27/229, 520/877, 128/353?
Answer: GCF of Numerators as per given numbers 27/229, 520/877, 128/353 is
GCF of Numerators i.e. for 27,520,128 is 1
LCM of denominators i.e. for 229,877,353 is 70894049.
Thus, GCF of Fractions is 1/70894049.Finally, GCF of Fractions for 27/229, 520/877, 128/353 is 1/70894049.