Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/427,8933/279
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 420,8933
Greatest Common Factor of Numerators i.e. GCF of 420,8933 is 1 .
LCM of Denominators means LCM of 427,279 as per the given fractions.
LCM of 427,279 is 119133 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,8933
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 8933
List of positive integer factors of 8933 that divides 8933 without a remainder.
1,8933
Greatest Common Factor
We found the factors 420,8933 . The biggest common factor number is the GCF number.
So the greatest common factor 420,8933 is 1.
Lets's calculate LCM of 427,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 119133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119133
Therefore, the GCF of Fractions 420/427,8933/279 is 1/119133
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 427,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,279) x common factors =1 x 1 = 1
LCM(427,279) = ( 427 × 279 ) / 1
LCM(427,279) = 119133 / 1
LCM(427,279) = 119133
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 420/427, 8933/279?
Answer: GCF of Numerators as per given numbers 420/427, 8933/279 is
GCF of Numerators i.e. for 420,8933 is 1
LCM of denominators i.e. for 427,279 is 119133.
Thus, GCF of Fractions is 1/119133.Finally, GCF of Fractions for 420/427, 8933/279 is 1/119133.