Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 450/726,908/437,913/813
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 450,908,913
Greatest Common Factor of Numerators i.e. GCF of 450,908,913 is 1 .
LCM of Denominators means LCM of 726,437,813 as per the given fractions.
LCM of 726,437,813 is 85978002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 450,908,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 450,908,913 . The biggest common factor number is the GCF number.
So the greatest common factor 450,908,913 is 1.
Lets's calculate LCM of 726,437,813
3 | 726, 437, 813 |
242, 437, 271 |
∴ So the LCM of the given numbers is 3 x 242 x 437 x 271 = 85978002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85978002
Therefore, the GCF of Fractions 450/726,908/437,913/813 is 1/85978002
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 726,437,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,437,813) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(726,437,813) x common factors =1 x 3 = 3
LCM(726,437,813) = ( 726 × 437 × 813 ) / 3
LCM(726,437,813) = 257934006 / 3
LCM(726,437,813) = 85978002
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 450/726, 908/437, 913/813?
Answer: GCF of Numerators as per given numbers 450/726, 908/437, 913/813 is
GCF of Numerators i.e. for 450,908,913 is 1
LCM of denominators i.e. for 726,437,813 is 85978002.
Thus, GCF of Fractions is 1/85978002.Finally, GCF of Fractions for 450/726, 908/437, 913/813 is 1/85978002.