Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/41,382/5573
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 129,382
Greatest Common Factor of Numerators i.e. GCF of 129,382 is 1 .
LCM of Denominators means LCM of 41,5573 as per the given fractions.
LCM of 41,5573 is 228493 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 129,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 129,382 . The biggest common factor number is the GCF number.
So the greatest common factor 129,382 is 1.
Lets's calculate LCM of 41,5573
Given numbers has no common factors except 1. So, there LCM is their product i.e 228493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228493
Therefore, the GCF of Fractions 129/41,382/5573 is 1/228493
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 41,5573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,5573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,5573) x common factors =1 x 1 = 1
LCM(41,5573) = ( 41 × 5573 ) / 1
LCM(41,5573) = 228493 / 1
LCM(41,5573) = 228493
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 129/41, 382/5573?
Answer: GCF of Numerators as per given numbers 129/41, 382/5573 is
GCF of Numerators i.e. for 129,382 is 1
LCM of denominators i.e. for 41,5573 is 228493.
Thus, GCF of Fractions is 1/228493.Finally, GCF of Fractions for 129/41, 382/5573 is 1/228493.