Use our free GCF of Fractions Calculator tool to compute the GCF of 652/309, 236/606 i.e 4/62418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 652/309, 236/606.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 652/309,236/606
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 652/309,236/606, numerators are 652,236
Denominators are 309,606
The GCF of 652,236 is 4 .
LCM of 309,606 is 62418.
The greatest common factor of 652/309,236/606 = [GCF of 652,236]/[LCM of 309,606]= 4/62418
Therefore, the GCF of 652/309,236/606 is 4/62418.
To find the highest common factor of 652,236, we have to find the factors of both numbers and list the highest common factor.
The factors of 652 are 1, 2, 4, 163, 326, 652
The factors of 236 are 1, 2, 4, 59, 118, 236
The HCF of 652,236 is 4.
Lets's calculate GCF of 652,236
2 | 652, 236 |
2 | 326, 118 |
163, 59 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 652
:1,2,4,163,326,652
Now, list down the factors of 236
:1,2,4,59,118,236
Greatest Common Factor
We found the factors 652,236 . The biggest common factor number is the GCF number.
So the greatest common factor 652,236 is 4.
Lets's calculate LCM of 309,606
3 | 309, 606 |
103, 202 |
∴ So the LCM of the given numbers is 3 x 103 x 202 = 62418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/62418
Therefore, the GCF of Fractions 652/309,236/606 is 4/62418
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 309,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,606) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,606) x common factors =3 x 1 = 3
LCM(309,606) = ( 309 × 606 ) / 3
LCM(309,606) = 187254 / 3
LCM(309,606) = 62418
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 652,236?
The HCF of 652,236 is 4
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 652/309, 236/606?
Answer: GCF of Numerators as per given numbers 652/309, 236/606 is
GCF of Numerators i.e. for 652,236 is 4
LCM of denominators i.e. for 309,606 is 62418.
Thus, GCF of Fractions is 4/62418.Finally, GCF of Fractions for 652/309, 236/606 is 4/62418.