Use our free GCF of Fractions Calculator tool to compute the GCF of 202/610, 436/366 i.e 2/1830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 202/610, 436/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/610,436/366
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 202/610,436/366, numerators are 202,436
Denominators are 610,366
The GCF of 202,436 is 2 .
LCM of 610,366 is 1830.
The greatest common factor of 202/610,436/366 = [GCF of 202,436]/[LCM of 610,366]= 2/1830
Therefore, the GCF of 202/610,436/366 is 2/1830.
To find the highest common factor of 202,436, we have to find the factors of both numbers and list the highest common factor.
The factors of 202 are 1, 2, 101, 202
The factors of 436 are 1, 2, 4, 109, 218, 436
The HCF of 202,436 is 2.
Lets's calculate GCF of 202,436
2 | 202, 436 |
101, 218 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 202
:1,2,101,202
Now, list down the factors of 436
:1,2,4,109,218,436
Greatest Common Factor
We found the factors 202,436 . The biggest common factor number is the GCF number.
So the greatest common factor 202,436 is 2.
Lets's calculate LCM of 610,366
2 | 610, 366 |
61 | 305, 183 |
5, 3 |
∴ So the LCM of the given numbers is 2 x 61 x 5 x 3 = 1830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1830
Therefore, the GCF of Fractions 202/610,436/366 is 2/1830
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 610,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,366) = 122
common factors(in case of two or more numbers have common factors) = 1
GCF(610,366) x common factors =122 x 1 = 122
LCM(610,366) = ( 610 × 366 ) / 122
LCM(610,366) = 223260 / 122
LCM(610,366) = 1830
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 202,436?
The HCF of 202,436 is 2
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 202/610, 436/366?
Answer: GCF of Numerators as per given numbers 202/610, 436/366 is
GCF of Numerators i.e. for 202,436 is 2
LCM of denominators i.e. for 610,366 is 1830.
Thus, GCF of Fractions is 2/1830.Finally, GCF of Fractions for 202/610, 436/366 is 2/1830.