Use our free GCF of Fractions Calculator tool to compute the GCF of 301/653, 189/858 i.e 7/560274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/653, 189/858.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 301/653,189/858
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 301/653,189/858, numerators are 301,189
Denominators are 653,858
The GCF of 301,189 is 7 .
LCM of 653,858 is 560274.
The greatest common factor of 301/653,189/858 = [GCF of 301,189]/[LCM of 653,858]= 7/560274
Therefore, the GCF of 301/653,189/858 is 7/560274.
To find the highest common factor of 301,189, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The HCF of 301,189 is 7.
Lets's calculate GCF of 301,189
7 | 301, 189 |
43, 27 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 301,189 . The biggest common factor number is the GCF number.
So the greatest common factor 301,189 is 7.
Lets's calculate LCM of 653,858
Given numbers has no common factors except 1. So, there LCM is their product i.e 560274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/560274
Therefore, the GCF of Fractions 301/653,189/858 is 7/560274
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 653,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,858) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,858) x common factors =1 x 1 = 1
LCM(653,858) = ( 653 × 858 ) / 1
LCM(653,858) = 560274 / 1
LCM(653,858) = 560274
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 301,189?
The HCF of 301,189 is 7
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 301/653, 189/858?
Answer: GCF of Numerators as per given numbers 301/653, 189/858 is
GCF of Numerators i.e. for 301,189 is 7
LCM of denominators i.e. for 653,858 is 560274.
Thus, GCF of Fractions is 7/560274.Finally, GCF of Fractions for 301/653, 189/858 is 7/560274.