Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 380/61,956/5806
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 380,956
Greatest Common Factor of Numerators i.e. GCF of 380,956 is 4 .
LCM of Denominators means LCM of 61,5806 as per the given fractions.
LCM of 61,5806 is 354166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 380,956
2 | 380, 956 |
2 | 190, 478 |
95, 239 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 380,956 . The biggest common factor number is the GCF number.
So the greatest common factor 380,956 is 4.
Lets's calculate LCM of 61,5806
Given numbers has no common factors except 1. So, there LCM is their product i.e 354166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/354166
Therefore, the GCF of Fractions 380/61,956/5806 is 4/354166
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 61,5806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,5806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,5806) x common factors =1 x 1 = 1
LCM(61,5806) = ( 61 × 5806 ) / 1
LCM(61,5806) = 354166 / 1
LCM(61,5806) = 354166
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 380/61, 956/5806?
Answer: GCF of Numerators as per given numbers 380/61, 956/5806 is
GCF of Numerators i.e. for 380,956 is 4
LCM of denominators i.e. for 61,5806 is 354166.
Thus, GCF of Fractions is 4/354166.Finally, GCF of Fractions for 380/61, 956/5806 is 4/354166.