Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 293/43,156/487
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 293,156
Greatest Common Factor of Numerators i.e. GCF of 293,156 is 1 .
LCM of Denominators means LCM of 43,487 as per the given fractions.
LCM of 43,487 is 20941 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 293,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 293,156 . The biggest common factor number is the GCF number.
So the greatest common factor 293,156 is 1.
Lets's calculate LCM of 43,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 20941
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20941
Therefore, the GCF of Fractions 293/43,156/487 is 1/20941
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 43,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,487) x common factors =1 x 1 = 1
LCM(43,487) = ( 43 × 487 ) / 1
LCM(43,487) = 20941 / 1
LCM(43,487) = 20941
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 293/43, 156/487?
Answer: GCF of Numerators as per given numbers 293/43, 156/487 is
GCF of Numerators i.e. for 293,156 is 1
LCM of denominators i.e. for 43,487 is 20941.
Thus, GCF of Fractions is 1/20941.Finally, GCF of Fractions for 293/43, 156/487 is 1/20941.