Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/70,143/6146
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 254,143
Greatest Common Factor of Numerators i.e. GCF of 254,143 is 1 .
LCM of Denominators means LCM of 70,6146 as per the given fractions.
LCM of 70,6146 is 30730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 254,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 254,143 . The biggest common factor number is the GCF number.
So the greatest common factor 254,143 is 1.
Lets's calculate LCM of 70,6146
2 | 70, 6146 |
7 | 35, 3073 |
5, 439 |
∴ So the LCM of the given numbers is 2 x 7 x 5 x 439 = 30730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30730
Therefore, the GCF of Fractions 254/70,143/6146 is 1/30730
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 70,6146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,6146) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(70,6146) x common factors =14 x 1 = 14
LCM(70,6146) = ( 70 × 6146 ) / 14
LCM(70,6146) = 430220 / 14
LCM(70,6146) = 30730
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 254/70, 143/6146?
Answer: GCF of Numerators as per given numbers 254/70, 143/6146 is
GCF of Numerators i.e. for 254,143 is 1
LCM of denominators i.e. for 70,6146 is 30730.
Thus, GCF of Fractions is 1/30730.Finally, GCF of Fractions for 254/70, 143/6146 is 1/30730.