Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/37,896/58,143/193
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 38,896,143
Greatest Common Factor of Numerators i.e. GCF of 38,896,143 is 1 .
LCM of Denominators means LCM of 37,58,193 as per the given fractions.
LCM of 37,58,193 is 414178 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,896,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 38,896,143 . The biggest common factor number is the GCF number.
So the greatest common factor 38,896,143 is 1.
Lets's calculate LCM of 37,58,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 414178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414178
Therefore, the GCF of Fractions 38/37,896/58,143/193 is 1/414178
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 37,58,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,58,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,58,193) x common factors =1 x 1 = 1
LCM(37,58,193) = ( 37 × 58 × 193 ) / 1
LCM(37,58,193) = 414178 / 1
LCM(37,58,193) = 414178
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 38/37, 896/58, 143/193?
Answer: GCF of Numerators as per given numbers 38/37, 896/58, 143/193 is
GCF of Numerators i.e. for 38,896,143 is 1
LCM of denominators i.e. for 37,58,193 is 414178.
Thus, GCF of Fractions is 1/414178.Finally, GCF of Fractions for 38/37, 896/58, 143/193 is 1/414178.