Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 967/39,435/73,430/186
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 967,435,430
Greatest Common Factor of Numerators i.e. GCF of 967,435,430 is 1 .
LCM of Denominators means LCM of 39,73,186 as per the given fractions.
LCM of 39,73,186 is 176514 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 967,435,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
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 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 967,435,430 . The biggest common factor number is the GCF number.
So the greatest common factor 967,435,430 is 1.
Lets's calculate LCM of 39,73,186
3 | 39, 73, 186 |
13, 73, 62 |
∴ So the LCM of the given numbers is 3 x 13 x 73 x 62 = 176514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176514
Therefore, the GCF of Fractions 967/39,435/73,430/186 is 1/176514
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 39,73,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,73,186) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,73,186) x common factors =1 x 3 = 3
LCM(39,73,186) = ( 39 × 73 × 186 ) / 3
LCM(39,73,186) = 529542 / 3
LCM(39,73,186) = 176514
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 967/39, 435/73, 430/186?
Answer: GCF of Numerators as per given numbers 967/39, 435/73, 430/186 is
GCF of Numerators i.e. for 967,435,430 is 1
LCM of denominators i.e. for 39,73,186 is 176514.
Thus, GCF of Fractions is 1/176514.Finally, GCF of Fractions for 967/39, 435/73, 430/186 is 1/176514.