Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 930/659,4931/233
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 930,4931
Greatest Common Factor of Numerators i.e. GCF of 930,4931 is 1 .
LCM of Denominators means LCM of 659,233 as per the given fractions.
LCM of 659,233 is 153547 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 930,4931
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 4931
List of positive integer factors of 4931 that divides 4931 without a remainder.
1,4931
Greatest Common Factor
We found the factors 930,4931 . The biggest common factor number is the GCF number.
So the greatest common factor 930,4931 is 1.
Lets's calculate LCM of 659,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 153547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153547
Therefore, the GCF of Fractions 930/659,4931/233 is 1/153547
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 659,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,233) x common factors =1 x 1 = 1
LCM(659,233) = ( 659 × 233 ) / 1
LCM(659,233) = 153547 / 1
LCM(659,233) = 153547
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 930/659, 4931/233?
Answer: GCF of Numerators as per given numbers 930/659, 4931/233 is
GCF of Numerators i.e. for 930,4931 is 1
LCM of denominators i.e. for 659,233 is 153547.
Thus, GCF of Fractions is 1/153547.Finally, GCF of Fractions for 930/659, 4931/233 is 1/153547.