Use our free GCF of Fractions Calculator tool to compute the GCF of 2020/603, 7237/1353 i.e 1/271953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2020/603, 7237/1353.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2020/603,7237/1353
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 2020/603,7237/1353, numerators are 2020,7237
Denominators are 603,1353
The GCF of 2020,7237 is 1 .
LCM of 603,1353 is 271953.
The greatest common factor of 2020/603,7237/1353 = [GCF of 2020,7237]/[LCM of 603,1353]= 1/271953
Therefore, the GCF of 2020/603,7237/1353 is 1/271953.
To find the highest common factor of 2020,7237, we have to find the factors of both numbers and list the highest common factor.
The factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
The factors of 7237 are 1, 7237
The HCF of 2020,7237 is 1.
Lets's calculate GCF of 2020,7237
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2020
:1,2,4,5,10,20,101,202,404,505,1010,2020
Now, list down the factors of 7237
:1,7237
Greatest Common Factor
We found the factors 2020,7237 . The biggest common factor number is the GCF number.
So the greatest common factor 2020,7237 is 1.
Lets's calculate LCM of 603,1353
3 | 603, 1353 |
201, 451 |
∴ So the LCM of the given numbers is 3 x 201 x 451 = 271953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271953
Therefore, the GCF of Fractions 2020/603,7237/1353 is 1/271953
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 603,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,1353) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(603,1353) x common factors =3 x 1 = 3
LCM(603,1353) = ( 603 × 1353 ) / 3
LCM(603,1353) = 815859 / 3
LCM(603,1353) = 271953
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2020,7237?
The HCF of 2020,7237 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 2020/603, 7237/1353?
Answer: GCF of Numerators as per given numbers 2020/603, 7237/1353 is
GCF of Numerators i.e. for 2020,7237 is 1
LCM of denominators i.e. for 603,1353 is 271953.
Thus, GCF of Fractions is 1/271953.Finally, GCF of Fractions for 2020/603, 7237/1353 is 1/271953.