Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 803/48,565/51,258/194
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 803,565,258
Greatest Common Factor of Numerators i.e. GCF of 803,565,258 is 1 .
LCM of Denominators means LCM of 48,51,194 as per the given fractions.
LCM of 48,51,194 is 79152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 803,565,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 803,565,258 . The biggest common factor number is the GCF number.
So the greatest common factor 803,565,258 is 1.
Lets's calculate LCM of 48,51,194
2 | 48, 51, 194 |
3 | 24, 51, 97 |
8, 17, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 8 x 17 x 97 = 79152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79152
Therefore, the GCF of Fractions 803/48,565/51,258/194 is 1/79152
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 48,51,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,51,194) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(48,51,194) x common factors =1 x 6 = 6
LCM(48,51,194) = ( 48 × 51 × 194 ) / 6
LCM(48,51,194) = 474912 / 6
LCM(48,51,194) = 79152
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 803/48, 565/51, 258/194?
Answer: GCF of Numerators as per given numbers 803/48, 565/51, 258/194 is
GCF of Numerators i.e. for 803,565,258 is 1
LCM of denominators i.e. for 48,51,194 is 79152.
Thus, GCF of Fractions is 1/79152.Finally, GCF of Fractions for 803/48, 565/51, 258/194 is 1/79152.