Use our free GCF of Fractions Calculator tool to compute the GCF of 654/146, 278/759, 999/978 i.e 1/18062682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 654/146, 278/759, 999/978.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 654/146,278/759,999/978
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 654/146,278/759,999/978, numerators are 654,278,999
Denominators are 146,759,978
The GCF of 654,278,999 is 1 .
LCM of 146,759,978 is 18062682.
The greatest common factor of 654/146,278/759,999/978 = [GCF of 654,278,999]/[LCM of 146,759,978]= 1/18062682
Therefore, the GCF of 654/146,278/759,999/978 is 1/18062682.
To find the highest common factor of 654,278,999, we have to find the factors of both numbers and list the highest common factor.
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The factors of 278 are 1, 2, 139, 278
The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999
The HCF of 654,278,999 is 1.
Lets's calculate GCF of 654,278,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Now, list down the factors of 278
:1,2,139,278
Now, list down the factors of 999
:1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 654,278,999 . The biggest common factor number is the GCF number.
So the greatest common factor 654,278,999 is 1.
Lets's calculate LCM of 146,759,978
2 | 146, 759, 978 |
3 | 73, 759, 489 |
73, 253, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 253 x 163 = 18062682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18062682
Therefore, the GCF of Fractions 654/146,278/759,999/978 is 1/18062682
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 146,759,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,759,978) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(146,759,978) x common factors =1 x 6 = 6
LCM(146,759,978) = ( 146 × 759 × 978 ) / 6
LCM(146,759,978) = 108376092 / 6
LCM(146,759,978) = 18062682
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 654,278,999?
The HCF of 654,278,999 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 654/146, 278/759, 999/978?
Answer: GCF of Numerators as per given numbers 654/146, 278/759, 999/978 is
GCF of Numerators i.e. for 654,278,999 is 1
LCM of denominators i.e. for 146,759,978 is 18062682.
Thus, GCF of Fractions is 1/18062682.Finally, GCF of Fractions for 654/146, 278/759, 999/978 is 1/18062682.