Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 556/30,202/56,862/17
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 556,202,862
Greatest Common Factor of Numerators i.e. GCF of 556,202,862 is 2 .
LCM of Denominators means LCM of 30,56,17 as per the given fractions.
LCM of 30,56,17 is 14280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 556,202,862
2 | 556, 202, 862 |
278, 101, 431 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 556,202,862 . The biggest common factor number is the GCF number.
So the greatest common factor 556,202,862 is 2.
Lets's calculate LCM of 30,56,17
2 | 30, 56, 17 |
15, 28, 17 |
∴ So the LCM of the given numbers is 2 x 15 x 28 x 17 = 14280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14280
Therefore, the GCF of Fractions 556/30,202/56,862/17 is 2/14280
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 30,56,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,56,17) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(30,56,17) x common factors =1 x 2 = 2
LCM(30,56,17) = ( 30 × 56 × 17 ) / 2
LCM(30,56,17) = 28560 / 2
LCM(30,56,17) = 14280
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 556/30, 202/56, 862/17?
Answer: GCF of Numerators as per given numbers 556/30, 202/56, 862/17 is
GCF of Numerators i.e. for 556,202,862 is 2
LCM of denominators i.e. for 30,56,17 is 14280.
Thus, GCF of Fractions is 2/14280.Finally, GCF of Fractions for 556/30, 202/56, 862/17 is 2/14280.