Use our free GCF of Fractions Calculator tool to compute the GCF of 69/65, 448/61, 459/285 i.e 1/226005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/65, 448/61, 459/285.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/65,448/61,459/285
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 69/65,448/61,459/285, numerators are 69,448,459
Denominators are 65,61,285
The GCF of 69,448,459 is 1 .
LCM of 65,61,285 is 226005.
The greatest common factor of 69/65,448/61,459/285 = [GCF of 69,448,459]/[LCM of 65,61,285]= 1/226005
Therefore, the GCF of 69/65,448/61,459/285 is 1/226005.
To find the highest common factor of 69,448,459, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459
The HCF of 69,448,459 is 1.
Lets's calculate GCF of 69,448,459
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 459
:1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 69,448,459 . The biggest common factor number is the GCF number.
So the greatest common factor 69,448,459 is 1.
Lets's calculate LCM of 65,61,285
5 | 65, 61, 285 |
13, 61, 57 |
∴ So the LCM of the given numbers is 5 x 13 x 61 x 57 = 226005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226005
Therefore, the GCF of Fractions 69/65,448/61,459/285 is 1/226005
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 65,61,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,61,285) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,61,285) x common factors =1 x 5 = 5
LCM(65,61,285) = ( 65 × 61 × 285 ) / 5
LCM(65,61,285) = 1130025 / 5
LCM(65,61,285) = 226005
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,448,459?
The HCF of 69,448,459 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 69/65, 448/61, 459/285?
Answer: GCF of Numerators as per given numbers 69/65, 448/61, 459/285 is
GCF of Numerators i.e. for 69,448,459 is 1
LCM of denominators i.e. for 65,61,285 is 226005.
Thus, GCF of Fractions is 1/226005.Finally, GCF of Fractions for 69/65, 448/61, 459/285 is 1/226005.