Use our free GCF of Fractions Calculator tool to compute the GCF of 66/89, 880/48, 605/242 i.e 11/516912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/89, 880/48, 605/242.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/89,880/48,605/242
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 66/89,880/48,605/242, numerators are 66,880,605
Denominators are 89,48,242
The GCF of 66,880,605 is 11 .
LCM of 89,48,242 is 516912.
The greatest common factor of 66/89,880/48,605/242 = [GCF of 66,880,605]/[LCM of 89,48,242]= 11/516912
Therefore, the GCF of 66/89,880/48,605/242 is 11/516912.
To find the highest common factor of 66,880,605, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 605 are 1, 5, 11, 55, 121, 605
The HCF of 66,880,605 is 11.
Lets's calculate GCF of 66,880,605
11 | 66, 880, 605 |
6, 80, 55 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 605
:1,5,11,55,121,605
Greatest Common Factor
We found the factors 66,880,605 . The biggest common factor number is the GCF number.
So the greatest common factor 66,880,605 is 11.
Lets's calculate LCM of 89,48,242
2 | 89, 48, 242 |
89, 24, 121 |
∴ So the LCM of the given numbers is 2 x 89 x 24 x 121 = 516912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/516912
Therefore, the GCF of Fractions 66/89,880/48,605/242 is 11/516912
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 89,48,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,48,242) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(89,48,242) x common factors =1 x 2 = 2
LCM(89,48,242) = ( 89 × 48 × 242 ) / 2
LCM(89,48,242) = 1033824 / 2
LCM(89,48,242) = 516912
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,880,605?
The HCF of 66,880,605 is 11
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 66/89, 880/48, 605/242?
Answer: GCF of Numerators as per given numbers 66/89, 880/48, 605/242 is
GCF of Numerators i.e. for 66,880,605 is 11
LCM of denominators i.e. for 89,48,242 is 516912.
Thus, GCF of Fractions is 11/516912.Finally, GCF of Fractions for 66/89, 880/48, 605/242 is 11/516912.