Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/101,196/288,826/202
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 20,196,826
Greatest Common Factor of Numerators i.e. GCF of 20,196,826 is 2 .
LCM of Denominators means LCM of 101,288,202 as per the given fractions.
LCM of 101,288,202 is 29088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,196,826
2 | 20, 196, 826 |
10, 98, 413 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 20,196,826 . The biggest common factor number is the GCF number.
So the greatest common factor 20,196,826 is 2.
Lets's calculate LCM of 101,288,202
2 | 101, 288, 202 |
101 | 101, 144, 101 |
1, 144, 1 |
∴ So the LCM of the given numbers is 2 x 101 x 1 x 144 x 1 = 29088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29088
Therefore, the GCF of Fractions 20/101,196/288,826/202 is 2/29088
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 101,288,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,288,202) = 1
common factors(in case of two or more numbers have common factors) = 202
GCF(101,288,202) x common factors =1 x 202 = 202
LCM(101,288,202) = ( 101 × 288 × 202 ) / 202
LCM(101,288,202) = 5875776 / 202
LCM(101,288,202) = 29088
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 20/101, 196/288, 826/202?
Answer: GCF of Numerators as per given numbers 20/101, 196/288, 826/202 is
GCF of Numerators i.e. for 20,196,826 is 2
LCM of denominators i.e. for 101,288,202 is 29088.
Thus, GCF of Fractions is 2/29088.Finally, GCF of Fractions for 20/101, 196/288, 826/202 is 2/29088.