Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 451/34,122/56,629/969
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 451,122,629
Greatest Common Factor of Numerators i.e. GCF of 451,122,629 is 1 .
LCM of Denominators means LCM of 34,56,969 as per the given fractions.
LCM of 34,56,969 is 54264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 451,122,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 451,122,629 . The biggest common factor number is the GCF number.
So the greatest common factor 451,122,629 is 1.
Lets's calculate LCM of 34,56,969
2 | 34, 56, 969 |
17 | 17, 28, 969 |
1, 28, 57 |
∴ So the LCM of the given numbers is 2 x 17 x 1 x 28 x 57 = 54264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54264
Therefore, the GCF of Fractions 451/34,122/56,629/969 is 1/54264
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 34,56,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,56,969) = 1
common factors(in case of two or more numbers have common factors) = 34
GCF(34,56,969) x common factors =1 x 34 = 34
LCM(34,56,969) = ( 34 × 56 × 969 ) / 34
LCM(34,56,969) = 1844976 / 34
LCM(34,56,969) = 54264
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 451/34, 122/56, 629/969?
Answer: GCF of Numerators as per given numbers 451/34, 122/56, 629/969 is
GCF of Numerators i.e. for 451,122,629 is 1
LCM of denominators i.e. for 34,56,969 is 54264.
Thus, GCF of Fractions is 1/54264.Finally, GCF of Fractions for 451/34, 122/56, 629/969 is 1/54264.