Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/42,32/68,818/898
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 40,32,818
Greatest Common Factor of Numerators i.e. GCF of 40,32,818 is 2 .
LCM of Denominators means LCM of 42,68,898 as per the given fractions.
LCM of 42,68,898 is 641172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,32,818
2 | 40, 32, 818 |
20, 16, 409 |
∴ So the GCF of the given numbers is 2 = 2
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 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 40,32,818 . The biggest common factor number is the GCF number.
So the greatest common factor 40,32,818 is 2.
Lets's calculate LCM of 42,68,898
2 | 42, 68, 898 |
21, 34, 449 |
∴ So the LCM of the given numbers is 2 x 21 x 34 x 449 = 641172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/641172
Therefore, the GCF of Fractions 40/42,32/68,818/898 is 2/641172
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 42,68,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,68,898) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(42,68,898) x common factors =2 x 2 = 4
LCM(42,68,898) = ( 42 × 68 × 898 ) / 4
LCM(42,68,898) = 2564688 / 4
LCM(42,68,898) = 641172
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 40/42, 32/68, 818/898?
Answer: GCF of Numerators as per given numbers 40/42, 32/68, 818/898 is
GCF of Numerators i.e. for 40,32,818 is 2
LCM of denominators i.e. for 42,68,898 is 641172.
Thus, GCF of Fractions is 2/641172.Finally, GCF of Fractions for 40/42, 32/68, 818/898 is 2/641172.