Use our free GCF of Fractions Calculator tool to compute the GCF of 63/51, 301/29, 578/786 i.e 1/387498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/51, 301/29, 578/786.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/51,301/29,578/786
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 63/51,301/29,578/786, numerators are 63,301,578
Denominators are 51,29,786
The GCF of 63,301,578 is 1 .
LCM of 51,29,786 is 387498.
The greatest common factor of 63/51,301/29,578/786 = [GCF of 63,301,578]/[LCM of 51,29,786]= 1/387498
Therefore, the GCF of 63/51,301/29,578/786 is 1/387498.
To find the highest common factor of 63,301,578, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 301 are 1, 7, 43, 301
The factors of 578 are 1, 2, 17, 34, 289, 578
The HCF of 63,301,578 is 1.
Lets's calculate GCF of 63,301,578
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 578
:1,2,17,34,289,578
Greatest Common Factor
We found the factors 63,301,578 . The biggest common factor number is the GCF number.
So the greatest common factor 63,301,578 is 1.
Lets's calculate LCM of 51,29,786
3 | 51, 29, 786 |
17, 29, 262 |
∴ So the LCM of the given numbers is 3 x 17 x 29 x 262 = 387498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387498
Therefore, the GCF of Fractions 63/51,301/29,578/786 is 1/387498
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 51,29,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,29,786) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,29,786) x common factors =1 x 3 = 3
LCM(51,29,786) = ( 51 × 29 × 786 ) / 3
LCM(51,29,786) = 1162494 / 3
LCM(51,29,786) = 387498
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 63,301,578?
The HCF of 63,301,578 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 63/51, 301/29, 578/786?
Answer: GCF of Numerators as per given numbers 63/51, 301/29, 578/786 is
GCF of Numerators i.e. for 63,301,578 is 1
LCM of denominators i.e. for 51,29,786 is 387498.
Thus, GCF of Fractions is 1/387498.Finally, GCF of Fractions for 63/51, 301/29, 578/786 is 1/387498.