Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/34,30/61,745/666
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 35,30,745
Greatest Common Factor of Numerators i.e. GCF of 35,30,745 is 5 .
LCM of Denominators means LCM of 34,61,666 as per the given fractions.
LCM of 34,61,666 is 690642 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,30,745
5 | 35, 30, 745 |
7, 6, 149 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 35,30,745 . The biggest common factor number is the GCF number.
So the greatest common factor 35,30,745 is 5.
Lets's calculate LCM of 34,61,666
2 | 34, 61, 666 |
17, 61, 333 |
∴ So the LCM of the given numbers is 2 x 17 x 61 x 333 = 690642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/690642
Therefore, the GCF of Fractions 35/34,30/61,745/666 is 5/690642
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 34,61,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,61,666) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,61,666) x common factors =1 x 2 = 2
LCM(34,61,666) = ( 34 × 61 × 666 ) / 2
LCM(34,61,666) = 1381284 / 2
LCM(34,61,666) = 690642
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 35/34, 30/61, 745/666?
Answer: GCF of Numerators as per given numbers 35/34, 30/61, 745/666 is
GCF of Numerators i.e. for 35,30,745 is 5
LCM of denominators i.e. for 34,61,666 is 690642.
Thus, GCF of Fractions is 5/690642.Finally, GCF of Fractions for 35/34, 30/61, 745/666 is 5/690642.