Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/53,40/744,400/471
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 34,40,400
Greatest Common Factor of Numerators i.e. GCF of 34,40,400 is 2 .
LCM of Denominators means LCM of 53,744,471 as per the given fractions.
LCM of 53,744,471 is 6190824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,40,400
2 | 34, 40, 400 |
17, 20, 200 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 34,40,400 . The biggest common factor number is the GCF number.
So the greatest common factor 34,40,400 is 2.
Lets's calculate LCM of 53,744,471
3 | 53, 744, 471 |
53, 248, 157 |
∴ So the LCM of the given numbers is 3 x 53 x 248 x 157 = 6190824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6190824
Therefore, the GCF of Fractions 34/53,40/744,400/471 is 2/6190824
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 53,744,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,744,471) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(53,744,471) x common factors =1 x 3 = 3
LCM(53,744,471) = ( 53 × 744 × 471 ) / 3
LCM(53,744,471) = 18572472 / 3
LCM(53,744,471) = 6190824
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 34/53, 40/744, 400/471?
Answer: GCF of Numerators as per given numbers 34/53, 40/744, 400/471 is
GCF of Numerators i.e. for 34,40,400 is 2
LCM of denominators i.e. for 53,744,471 is 6190824.
Thus, GCF of Fractions is 2/6190824.Finally, GCF of Fractions for 34/53, 40/744, 400/471 is 2/6190824.