Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/93,5924/746
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 383,5924
Greatest Common Factor of Numerators i.e. GCF of 383,5924 is 1 .
LCM of Denominators means LCM of 93,746 as per the given fractions.
LCM of 93,746 is 69378 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 383,5924
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Factors of 5924
List of positive integer factors of 5924 that divides 5924 without a remainder.
1,2,4,1481,2962,5924
Greatest Common Factor
We found the factors 383,5924 . The biggest common factor number is the GCF number.
So the greatest common factor 383,5924 is 1.
Lets's calculate LCM of 93,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 69378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69378
Therefore, the GCF of Fractions 383/93,5924/746 is 1/69378
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 93,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,746) x common factors =1 x 1 = 1
LCM(93,746) = ( 93 × 746 ) / 1
LCM(93,746) = 69378 / 1
LCM(93,746) = 69378
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 383/93, 5924/746?
Answer: GCF of Numerators as per given numbers 383/93, 5924/746 is
GCF of Numerators i.e. for 383,5924 is 1
LCM of denominators i.e. for 93,746 is 69378.
Thus, GCF of Fractions is 1/69378.Finally, GCF of Fractions for 383/93, 5924/746 is 1/69378.