Use our free GCF of Fractions Calculator tool to compute the GCF of 89/97, 384/61, 226/228 i.e 1/1349076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/97, 384/61, 226/228.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/97,384/61,226/228
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 89/97,384/61,226/228, numerators are 89,384,226
Denominators are 97,61,228
The GCF of 89,384,226 is 1 .
LCM of 97,61,228 is 1349076.
The greatest common factor of 89/97,384/61,226/228 = [GCF of 89,384,226]/[LCM of 97,61,228]= 1/1349076
Therefore, the GCF of 89/97,384/61,226/228 is 1/1349076.
To find the highest common factor of 89,384,226, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The factors of 226 are 1, 2, 113, 226
The HCF of 89,384,226 is 1.
Lets's calculate GCF of 89,384,226
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 89
:1,89
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Now, list down the factors of 226
:1,2,113,226
Greatest Common Factor
We found the factors 89,384,226 . The biggest common factor number is the GCF number.
So the greatest common factor 89,384,226 is 1.
Lets's calculate LCM of 97,61,228
Given numbers has no common factors except 1. So, there LCM is their product i.e 1349076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1349076
Therefore, the GCF of Fractions 89/97,384/61,226/228 is 1/1349076
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 97,61,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,61,228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,61,228) x common factors =1 x 1 = 1
LCM(97,61,228) = ( 97 × 61 × 228 ) / 1
LCM(97,61,228) = 1349076 / 1
LCM(97,61,228) = 1349076
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 89,384,226?
The HCF of 89,384,226 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 89/97, 384/61, 226/228?
Answer: GCF of Numerators as per given numbers 89/97, 384/61, 226/228 is
GCF of Numerators i.e. for 89,384,226 is 1
LCM of denominators i.e. for 97,61,228 is 1349076.
Thus, GCF of Fractions is 1/1349076.Finally, GCF of Fractions for 89/97, 384/61, 226/228 is 1/1349076.