Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 278/83,194/6301
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 278,194
Greatest Common Factor of Numerators i.e. GCF of 278,194 is 2 .
LCM of Denominators means LCM of 83,6301 as per the given fractions.
LCM of 83,6301 is 522983 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 278,194
2 | 278, 194 |
139, 97 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 278,194 . The biggest common factor number is the GCF number.
So the greatest common factor 278,194 is 2.
Lets's calculate LCM of 83,6301
Given numbers has no common factors except 1. So, there LCM is their product i.e 522983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/522983
Therefore, the GCF of Fractions 278/83,194/6301 is 2/522983
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 83,6301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,6301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,6301) x common factors =1 x 1 = 1
LCM(83,6301) = ( 83 × 6301 ) / 1
LCM(83,6301) = 522983 / 1
LCM(83,6301) = 522983
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 278/83, 194/6301?
Answer: GCF of Numerators as per given numbers 278/83, 194/6301 is
GCF of Numerators i.e. for 278,194 is 2
LCM of denominators i.e. for 83,6301 is 522983.
Thus, GCF of Fractions is 2/522983.Finally, GCF of Fractions for 278/83, 194/6301 is 2/522983.