Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/422,3630/266
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 943,3630
Greatest Common Factor of Numerators i.e. GCF of 943,3630 is 1 .
LCM of Denominators means LCM of 422,266 as per the given fractions.
LCM of 422,266 is 56126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 943,3630
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 3630
List of positive integer factors of 3630 that divides 3630 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630
Greatest Common Factor
We found the factors 943,3630 . The biggest common factor number is the GCF number.
So the greatest common factor 943,3630 is 1.
Lets's calculate LCM of 422,266
2 | 422, 266 |
211, 133 |
∴ So the LCM of the given numbers is 2 x 211 x 133 = 56126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56126
Therefore, the GCF of Fractions 943/422,3630/266 is 1/56126
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 422,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,266) x common factors =2 x 1 = 2
LCM(422,266) = ( 422 × 266 ) / 2
LCM(422,266) = 112252 / 2
LCM(422,266) = 56126
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 943/422, 3630/266?
Answer: GCF of Numerators as per given numbers 943/422, 3630/266 is
GCF of Numerators i.e. for 943,3630 is 1
LCM of denominators i.e. for 422,266 is 56126.
Thus, GCF of Fractions is 1/56126.Finally, GCF of Fractions for 943/422, 3630/266 is 1/56126.