Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 738/226,4061/674
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 738,4061
Greatest Common Factor of Numerators i.e. GCF of 738,4061 is 1 .
LCM of Denominators means LCM of 226,674 as per the given fractions.
LCM of 226,674 is 76162 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 738,4061
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 4061
List of positive integer factors of 4061 that divides 4061 without a remainder.
1,31,131,4061
Greatest Common Factor
We found the factors 738,4061 . The biggest common factor number is the GCF number.
So the greatest common factor 738,4061 is 1.
Lets's calculate LCM of 226,674
2 | 226, 674 |
113, 337 |
∴ So the LCM of the given numbers is 2 x 113 x 337 = 76162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76162
Therefore, the GCF of Fractions 738/226,4061/674 is 1/76162
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 226,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,674) x common factors =2 x 1 = 2
LCM(226,674) = ( 226 × 674 ) / 2
LCM(226,674) = 152324 / 2
LCM(226,674) = 76162
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 738/226, 4061/674?
Answer: GCF of Numerators as per given numbers 738/226, 4061/674 is
GCF of Numerators i.e. for 738,4061 is 1
LCM of denominators i.e. for 226,674 is 76162.
Thus, GCF of Fractions is 1/76162.Finally, GCF of Fractions for 738/226, 4061/674 is 1/76162.