Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 469/9991,383/3070
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 469,383
Greatest Common Factor of Numerators i.e. GCF of 469,383 is 1 .
LCM of Denominators means LCM of 9991,3070 as per the given fractions.
LCM of 9991,3070 is 30672370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 469,383
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Greatest Common Factor
We found the factors 469,383 . The biggest common factor number is the GCF number.
So the greatest common factor 469,383 is 1.
Lets's calculate LCM of 9991,3070
Given numbers has no common factors except 1. So, there LCM is their product i.e 30672370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30672370
Therefore, the GCF of Fractions 469/9991,383/3070 is 1/30672370
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 9991,3070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9991,3070) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9991,3070) x common factors =1 x 1 = 1
LCM(9991,3070) = ( 9991 × 3070 ) / 1
LCM(9991,3070) = 30672370 / 1
LCM(9991,3070) = 30672370
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 469/9991, 383/3070?
Answer: GCF of Numerators as per given numbers 469/9991, 383/3070 is
GCF of Numerators i.e. for 469,383 is 1
LCM of denominators i.e. for 9991,3070 is 30672370.
Thus, GCF of Fractions is 1/30672370.Finally, GCF of Fractions for 469/9991, 383/3070 is 1/30672370.