Use our free GCF of Fractions Calculator tool to compute the GCF of 45/64, 654/89, 289/473 i.e 1/2694208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/64, 654/89, 289/473.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 45/64,654/89,289/473
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 45/64,654/89,289/473, numerators are 45,654,289
Denominators are 64,89,473
The GCF of 45,654,289 is 1 .
LCM of 64,89,473 is 2694208.
The greatest common factor of 45/64,654/89,289/473 = [GCF of 45,654,289]/[LCM of 64,89,473]= 1/2694208
Therefore, the GCF of 45/64,654/89,289/473 is 1/2694208.
To find the highest common factor of 45,654,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The factors of 289 are 1, 17, 289
The HCF of 45,654,289 is 1.
Lets's calculate GCF of 45,654,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 45,654,289 . The biggest common factor number is the GCF number.
So the greatest common factor 45,654,289 is 1.
Lets's calculate LCM of 64,89,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 2694208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2694208
Therefore, the GCF of Fractions 45/64,654/89,289/473 is 1/2694208
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 64,89,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,89,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,89,473) x common factors =1 x 1 = 1
LCM(64,89,473) = ( 64 × 89 × 473 ) / 1
LCM(64,89,473) = 2694208 / 1
LCM(64,89,473) = 2694208
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 45,654,289?
The HCF of 45,654,289 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 45/64, 654/89, 289/473?
Answer: GCF of Numerators as per given numbers 45/64, 654/89, 289/473 is
GCF of Numerators i.e. for 45,654,289 is 1
LCM of denominators i.e. for 64,89,473 is 2694208.
Thus, GCF of Fractions is 1/2694208.Finally, GCF of Fractions for 45/64, 654/89, 289/473 is 1/2694208.