Use our free GCF of Fractions Calculator tool to compute the GCF of 601/210, 125/578 i.e 1/60690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 601/210, 125/578.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 601/210,125/578
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 601/210,125/578, numerators are 601,125
Denominators are 210,578
The GCF of 601,125 is 1 .
LCM of 210,578 is 60690.
The greatest common factor of 601/210,125/578 = [GCF of 601,125]/[LCM of 210,578]= 1/60690
Therefore, the GCF of 601/210,125/578 is 1/60690.
To find the highest common factor of 601,125, we have to find the factors of both numbers and list the highest common factor.
The factors of 601 are 1, 601
The factors of 125 are 1, 5, 25, 125
The HCF of 601,125 is 1.
Lets's calculate GCF of 601,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 601
:1,601
Now, list down the factors of 125
:1,5,25,125
Greatest Common Factor
We found the factors 601,125 . The biggest common factor number is the GCF number.
So the greatest common factor 601,125 is 1.
Lets's calculate LCM of 210,578
2 | 210, 578 |
105, 289 |
∴ So the LCM of the given numbers is 2 x 105 x 289 = 60690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60690
Therefore, the GCF of Fractions 601/210,125/578 is 1/60690
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 210,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(210,578) x common factors =2 x 1 = 2
LCM(210,578) = ( 210 × 578 ) / 2
LCM(210,578) = 121380 / 2
LCM(210,578) = 60690
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 601,125?
The HCF of 601,125 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 601/210, 125/578?
Answer: GCF of Numerators as per given numbers 601/210, 125/578 is
GCF of Numerators i.e. for 601,125 is 1
LCM of denominators i.e. for 210,578 is 60690.
Thus, GCF of Fractions is 1/60690.Finally, GCF of Fractions for 601/210, 125/578 is 1/60690.