Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 149/513,6901/233
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 149,6901
Greatest Common Factor of Numerators i.e. GCF of 149,6901 is 1 .
LCM of Denominators means LCM of 513,233 as per the given fractions.
LCM of 513,233 is 119529 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 149,6901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 6901
List of positive integer factors of 6901 that divides 6901 without a remainder.
1,67,103,6901
Greatest Common Factor
We found the factors 149,6901 . The biggest common factor number is the GCF number.
So the greatest common factor 149,6901 is 1.
Lets's calculate LCM of 513,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 119529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119529
Therefore, the GCF of Fractions 149/513,6901/233 is 1/119529
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 513,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,233) x common factors =1 x 1 = 1
LCM(513,233) = ( 513 × 233 ) / 1
LCM(513,233) = 119529 / 1
LCM(513,233) = 119529
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 149/513, 6901/233?
Answer: GCF of Numerators as per given numbers 149/513, 6901/233 is
GCF of Numerators i.e. for 149,6901 is 1
LCM of denominators i.e. for 513,233 is 119529.
Thus, GCF of Fractions is 1/119529.Finally, GCF of Fractions for 149/513, 6901/233 is 1/119529.