Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/21,744/92,814/427
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 435,744,814
Greatest Common Factor of Numerators i.e. GCF of 435,744,814 is 1 .
LCM of Denominators means LCM of 21,92,427 as per the given fractions.
LCM of 21,92,427 is 117852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,744,814
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 435,744,814 . The biggest common factor number is the GCF number.
So the greatest common factor 435,744,814 is 1.
Lets's calculate LCM of 21,92,427
7 | 21, 92, 427 |
3, 92, 61 |
∴ So the LCM of the given numbers is 7 x 3 x 92 x 61 = 117852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117852
Therefore, the GCF of Fractions 435/21,744/92,814/427 is 1/117852
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 21,92,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,92,427) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(21,92,427) x common factors =1 x 7 = 7
LCM(21,92,427) = ( 21 × 92 × 427 ) / 7
LCM(21,92,427) = 824964 / 7
LCM(21,92,427) = 117852
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 435/21, 744/92, 814/427?
Answer: GCF of Numerators as per given numbers 435/21, 744/92, 814/427 is
GCF of Numerators i.e. for 435,744,814 is 1
LCM of denominators i.e. for 21,92,427 is 117852.
Thus, GCF of Fractions is 1/117852.Finally, GCF of Fractions for 435/21, 744/92, 814/427 is 1/117852.