Use our free GCF of Fractions Calculator tool to compute the GCF of 168/202, 711/424 i.e 3/42824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/202, 711/424.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/202,711/424
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 168/202,711/424, numerators are 168,711
Denominators are 202,424
The GCF of 168,711 is 3 .
LCM of 202,424 is 42824.
The greatest common factor of 168/202,711/424 = [GCF of 168,711]/[LCM of 202,424]= 3/42824
Therefore, the GCF of 168/202,711/424 is 3/42824.
To find the highest common factor of 168,711, we have to find the factors of both numbers and list the highest common factor.
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 168,711 is 3.
Lets's calculate GCF of 168,711
3 | 168, 711 |
56, 237 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 168,711 . The biggest common factor number is the GCF number.
So the greatest common factor 168,711 is 3.
Lets's calculate LCM of 202,424
2 | 202, 424 |
101, 212 |
∴ So the LCM of the given numbers is 2 x 101 x 212 = 42824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42824
Therefore, the GCF of Fractions 168/202,711/424 is 3/42824
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 202,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,424) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,424) x common factors =2 x 1 = 2
LCM(202,424) = ( 202 × 424 ) / 2
LCM(202,424) = 85648 / 2
LCM(202,424) = 42824
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 168,711?
The HCF of 168,711 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 168/202, 711/424?
Answer: GCF of Numerators as per given numbers 168/202, 711/424 is
GCF of Numerators i.e. for 168,711 is 3
LCM of denominators i.e. for 202,424 is 42824.
Thus, GCF of Fractions is 3/42824.Finally, GCF of Fractions for 168/202, 711/424 is 3/42824.