Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/19,80/70,400/17
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 71,80,400
Greatest Common Factor of Numerators i.e. GCF of 71,80,400 is 1 .
LCM of Denominators means LCM of 19,70,17 as per the given fractions.
LCM of 19,70,17 is 22610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 71,80,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
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 71,80,400 . The biggest common factor number is the GCF number.
So the greatest common factor 71,80,400 is 1.
Lets's calculate LCM of 19,70,17
Given numbers has no common factors except 1. So, there LCM is their product i.e 22610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22610
Therefore, the GCF of Fractions 71/19,80/70,400/17 is 1/22610
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 19,70,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,70,17) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,70,17) x common factors =1 x 1 = 1
LCM(19,70,17) = ( 19 × 70 × 17 ) / 1
LCM(19,70,17) = 22610 / 1
LCM(19,70,17) = 22610
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 71/19, 80/70, 400/17?
Answer: GCF of Numerators as per given numbers 71/19, 80/70, 400/17 is
GCF of Numerators i.e. for 71,80,400 is 1
LCM of denominators i.e. for 19,70,17 is 22610.
Thus, GCF of Fractions is 1/22610.Finally, GCF of Fractions for 71/19, 80/70, 400/17 is 1/22610.