Use our free GCF of Fractions Calculator tool to compute the GCF of 7267/504, 1154/3236 i.e 1/407736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7267/504, 1154/3236.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7267/504,1154/3236
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 7267/504,1154/3236, numerators are 7267,1154
Denominators are 504,3236
The GCF of 7267,1154 is 1 .
LCM of 504,3236 is 407736.
The greatest common factor of 7267/504,1154/3236 = [GCF of 7267,1154]/[LCM of 504,3236]= 1/407736
Therefore, the GCF of 7267/504,1154/3236 is 1/407736.
To find the highest common factor of 7267,1154, we have to find the factors of both numbers and list the highest common factor.
The factors of 7267 are 1, 13, 43, 169, 559, 7267
The factors of 1154 are 1, 2, 577, 1154
The HCF of 7267,1154 is 1.
Lets's calculate GCF of 7267,1154
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7267
:1,13,43,169,559,7267
Now, list down the factors of 1154
:1,2,577,1154
Greatest Common Factor
We found the factors 7267,1154 . The biggest common factor number is the GCF number.
So the greatest common factor 7267,1154 is 1.
Lets's calculate LCM of 504,3236
2 | 504, 3236 |
2 | 252, 1618 |
126, 809 |
∴ So the LCM of the given numbers is 2 x 2 x 126 x 809 = 407736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407736
Therefore, the GCF of Fractions 7267/504,1154/3236 is 1/407736
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 504,3236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,3236) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(504,3236) x common factors =4 x 1 = 4
LCM(504,3236) = ( 504 × 3236 ) / 4
LCM(504,3236) = 1630944 / 4
LCM(504,3236) = 407736
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7267,1154?
The HCF of 7267,1154 is 1
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 7267/504, 1154/3236?
Answer: GCF of Numerators as per given numbers 7267/504, 1154/3236 is
GCF of Numerators i.e. for 7267,1154 is 1
LCM of denominators i.e. for 504,3236 is 407736.
Thus, GCF of Fractions is 1/407736.Finally, GCF of Fractions for 7267/504, 1154/3236 is 1/407736.