Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5389/793,2025/293
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 5389,2025
Greatest Common Factor of Numerators i.e. GCF of 5389,2025 is 1 .
LCM of Denominators means LCM of 793,293 as per the given fractions.
LCM of 793,293 is 232349 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5389,2025
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5389
List of positive integer factors of 5389 that divides 5389 without a remainder.
1,17,317,5389
Factors of 2025
List of positive integer factors of 2025 that divides 2025 without a remainder.
1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025
Greatest Common Factor
We found the factors 5389,2025 . The biggest common factor number is the GCF number.
So the greatest common factor 5389,2025 is 1.
Lets's calculate LCM of 793,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 232349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232349
Therefore, the GCF of Fractions 5389/793,2025/293 is 1/232349
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 793,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,293) x common factors =1 x 1 = 1
LCM(793,293) = ( 793 × 293 ) / 1
LCM(793,293) = 232349 / 1
LCM(793,293) = 232349
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 5389/793, 2025/293?
Answer: GCF of Numerators as per given numbers 5389/793, 2025/293 is
GCF of Numerators i.e. for 5389,2025 is 1
LCM of denominators i.e. for 793,293 is 232349.
Thus, GCF of Fractions is 1/232349.Finally, GCF of Fractions for 5389/793, 2025/293 is 1/232349.