Use our free GCF of Fractions Calculator tool to compute the GCF of 252/151, 252/242 i.e 252/36542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/151, 252/242.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 252/151,252/242
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 252/151,252/242, numerators are 252,252
Denominators are 151,242
The GCF of 252,252 is 252 .
LCM of 151,242 is 36542.
The greatest common factor of 252/151,252/242 = [GCF of 252,252]/[LCM of 151,242]= 252/36542
Therefore, the GCF of 252/151,252/242 is 252/36542.
To find the highest common factor of 252,252, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The HCF of 252,252 is 252.
Lets's calculate GCF of 252,252
2 | 252, 252 |
2 | 126, 126 |
3 | 63, 63 |
3 | 21, 21 |
7 | 7, 7 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 7 = 252
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 252,252 . The biggest common factor number is the GCF number.
So the greatest common factor 252,252 is 252.
Lets's calculate LCM of 151,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 36542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 252/36542
Therefore, the GCF of Fractions 252/151,252/242 is 252/36542
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 151,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,242) x common factors =1 x 1 = 1
LCM(151,242) = ( 151 × 242 ) / 1
LCM(151,242) = 36542 / 1
LCM(151,242) = 36542
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 252,252?
The HCF of 252,252 is 252
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 252/151, 252/242?
Answer: GCF of Numerators as per given numbers 252/151, 252/242 is
GCF of Numerators i.e. for 252,252 is 252
LCM of denominators i.e. for 151,242 is 36542.
Thus, GCF of Fractions is 252/36542.Finally, GCF of Fractions for 252/151, 252/242 is 252/36542.