Use our free GCF of Fractions Calculator tool to compute the GCF of 573/986, 138/121 i.e 3/119306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 573/986, 138/121.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 573/986,138/121
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 573/986,138/121, numerators are 573,138
Denominators are 986,121
The GCF of 573,138 is 3 .
LCM of 986,121 is 119306.
The greatest common factor of 573/986,138/121 = [GCF of 573,138]/[LCM of 986,121]= 3/119306
Therefore, the GCF of 573/986,138/121 is 3/119306.
To find the highest common factor of 573,138, we have to find the factors of both numbers and list the highest common factor.
The factors of 573 are 1, 3, 191, 573
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138
The HCF of 573,138 is 3.
Lets's calculate GCF of 573,138
3 | 573, 138 |
191, 46 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 573
:1,3,191,573
Now, list down the factors of 138
:1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 573,138 . The biggest common factor number is the GCF number.
So the greatest common factor 573,138 is 3.
Lets's calculate LCM of 986,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 119306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/119306
Therefore, the GCF of Fractions 573/986,138/121 is 3/119306
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 986,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,121) x common factors =1 x 1 = 1
LCM(986,121) = ( 986 × 121 ) / 1
LCM(986,121) = 119306 / 1
LCM(986,121) = 119306
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 573,138?
The HCF of 573,138 is 3
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 573/986, 138/121?
Answer: GCF of Numerators as per given numbers 573/986, 138/121 is
GCF of Numerators i.e. for 573,138 is 3
LCM of denominators i.e. for 986,121 is 119306.
Thus, GCF of Fractions is 3/119306.Finally, GCF of Fractions for 573/986, 138/121 is 3/119306.