Use our free GCF of Fractions Calculator tool to compute the GCF of 47/918, 562/378, 430/259 i.e 1/237762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/918, 562/378, 430/259.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/918,562/378,430/259
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 47/918,562/378,430/259, numerators are 47,562,430
Denominators are 918,378,259
The GCF of 47,562,430 is 1 .
LCM of 918,378,259 is 237762.
The greatest common factor of 47/918,562/378,430/259 = [GCF of 47,562,430]/[LCM of 918,378,259]= 1/237762
Therefore, the GCF of 47/918,562/378,430/259 is 1/237762.
To find the highest common factor of 47,562,430, we have to find the factors of both numbers and list the highest common factor.
The factors of 47 are 1, 47
The factors of 562 are 1, 2, 281, 562
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 47,562,430 is 1.
Lets's calculate GCF of 47,562,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 47
:1,47
Now, list down the factors of 562
:1,2,281,562
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 47,562,430 . The biggest common factor number is the GCF number.
So the greatest common factor 47,562,430 is 1.
Lets's calculate LCM of 918,378,259
2 | 918, 378, 259 |
3 | 459, 189, 259 |
3 | 153, 63, 259 |
3 | 51, 21, 259 |
7 | 17, 7, 259 |
17, 1, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 17 x 1 x 37 = 237762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237762
Therefore, the GCF of Fractions 47/918,562/378,430/259 is 1/237762
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 918,378,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,378,259) = 1
common factors(in case of two or more numbers have common factors) = 378
GCF(918,378,259) x common factors =1 x 378 = 378
LCM(918,378,259) = ( 918 × 378 × 259 ) / 378
LCM(918,378,259) = 89874036 / 378
LCM(918,378,259) = 237762
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 47,562,430?
The HCF of 47,562,430 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 47/918, 562/378, 430/259?
Answer: GCF of Numerators as per given numbers 47/918, 562/378, 430/259 is
GCF of Numerators i.e. for 47,562,430 is 1
LCM of denominators i.e. for 918,378,259 is 237762.
Thus, GCF of Fractions is 1/237762.Finally, GCF of Fractions for 47/918, 562/378, 430/259 is 1/237762.