Use our free GCF of Fractions Calculator tool to compute the GCF of 9436/152, 7057/9148 i.e 1/347624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9436/152, 7057/9148.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9436/152,7057/9148
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 9436/152,7057/9148, numerators are 9436,7057
Denominators are 152,9148
The GCF of 9436,7057 is 1 .
LCM of 152,9148 is 347624.
The greatest common factor of 9436/152,7057/9148 = [GCF of 9436,7057]/[LCM of 152,9148]= 1/347624
Therefore, the GCF of 9436/152,7057/9148 is 1/347624.
To find the highest common factor of 9436,7057, we have to find the factors of both numbers and list the highest common factor.
The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436
The factors of 7057 are 1, 7057
The HCF of 9436,7057 is 1.
Lets's calculate GCF of 9436,7057
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9436
:1,2,4,7,14,28,337,674,1348,2359,4718,9436
Now, list down the factors of 7057
:1,7057
Greatest Common Factor
We found the factors 9436,7057 . The biggest common factor number is the GCF number.
So the greatest common factor 9436,7057 is 1.
Lets's calculate LCM of 152,9148
2 | 152, 9148 |
2 | 76, 4574 |
38, 2287 |
∴ So the LCM of the given numbers is 2 x 2 x 38 x 2287 = 347624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347624
Therefore, the GCF of Fractions 9436/152,7057/9148 is 1/347624
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 152,9148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,9148) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(152,9148) x common factors =4 x 1 = 4
LCM(152,9148) = ( 152 × 9148 ) / 4
LCM(152,9148) = 1390496 / 4
LCM(152,9148) = 347624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9436,7057?
The HCF of 9436,7057 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 9436/152, 7057/9148?
Answer: GCF of Numerators as per given numbers 9436/152, 7057/9148 is
GCF of Numerators i.e. for 9436,7057 is 1
LCM of denominators i.e. for 152,9148 is 347624.
Thus, GCF of Fractions is 1/347624.Finally, GCF of Fractions for 9436/152, 7057/9148 is 1/347624.