Use our free GCF of Fractions Calculator tool to compute the GCF of 508/382, 202/476 i.e 2/90916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 508/382, 202/476.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 508/382,202/476
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 508/382,202/476, numerators are 508,202
Denominators are 382,476
The GCF of 508,202 is 2 .
LCM of 382,476 is 90916.
The greatest common factor of 508/382,202/476 = [GCF of 508,202]/[LCM of 382,476]= 2/90916
Therefore, the GCF of 508/382,202/476 is 2/90916.
To find the highest common factor of 508,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 508 are 1, 2, 4, 127, 254, 508
The factors of 202 are 1, 2, 101, 202
The HCF of 508,202 is 2.
Lets's calculate GCF of 508,202
2 | 508, 202 |
254, 101 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 508
:1,2,4,127,254,508
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 508,202 . The biggest common factor number is the GCF number.
So the greatest common factor 508,202 is 2.
Lets's calculate LCM of 382,476
2 | 382, 476 |
191, 238 |
∴ So the LCM of the given numbers is 2 x 191 x 238 = 90916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90916
Therefore, the GCF of Fractions 508/382,202/476 is 2/90916
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 382,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,476) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,476) x common factors =2 x 1 = 2
LCM(382,476) = ( 382 × 476 ) / 2
LCM(382,476) = 181832 / 2
LCM(382,476) = 90916
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 508,202?
The HCF of 508,202 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 508/382, 202/476?
Answer: GCF of Numerators as per given numbers 508/382, 202/476 is
GCF of Numerators i.e. for 508,202 is 2
LCM of denominators i.e. for 382,476 is 90916.
Thus, GCF of Fractions is 2/90916.Finally, GCF of Fractions for 508/382, 202/476 is 2/90916.