Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/38,73/412,930/423
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 80,73,930
Greatest Common Factor of Numerators i.e. GCF of 80,73,930 is 1 .
LCM of Denominators means LCM of 38,412,423 as per the given fractions.
LCM of 38,412,423 is 3311244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,73,930
∴ So GCF of numbers is 1 because of no common factors present between them.
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 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 80,73,930 . The biggest common factor number is the GCF number.
So the greatest common factor 80,73,930 is 1.
Lets's calculate LCM of 38,412,423
2 | 38, 412, 423 |
19, 206, 423 |
∴ So the LCM of the given numbers is 2 x 19 x 206 x 423 = 3311244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3311244
Therefore, the GCF of Fractions 80/38,73/412,930/423 is 1/3311244
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 38,412,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,412,423) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,412,423) x common factors =1 x 2 = 2
LCM(38,412,423) = ( 38 × 412 × 423 ) / 2
LCM(38,412,423) = 6622488 / 2
LCM(38,412,423) = 3311244
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 80/38, 73/412, 930/423?
Answer: GCF of Numerators as per given numbers 80/38, 73/412, 930/423 is
GCF of Numerators i.e. for 80,73,930 is 1
LCM of denominators i.e. for 38,412,423 is 3311244.
Thus, GCF of Fractions is 1/3311244.Finally, GCF of Fractions for 80/38, 73/412, 930/423 is 1/3311244.