Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2245/50,4823/142
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 2245,4823
Greatest Common Factor of Numerators i.e. GCF of 2245,4823 is 1 .
LCM of Denominators means LCM of 50,142 as per the given fractions.
LCM of 50,142 is 3550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2245,4823
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2245
List of positive integer factors of 2245 that divides 2245 without a remainder.
1,5,449,2245
Factors of 4823
List of positive integer factors of 4823 that divides 4823 without a remainder.
1,7,13,53,91,371,689,4823
Greatest Common Factor
We found the factors 2245,4823 . The biggest common factor number is the GCF number.
So the greatest common factor 2245,4823 is 1.
Lets's calculate LCM of 50,142
2 | 50, 142 |
25, 71 |
∴ So the LCM of the given numbers is 2 x 25 x 71 = 3550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3550
Therefore, the GCF of Fractions 2245/50,4823/142 is 1/3550
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 50,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,142) x common factors =2 x 1 = 2
LCM(50,142) = ( 50 × 142 ) / 2
LCM(50,142) = 7100 / 2
LCM(50,142) = 3550
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 2245/50, 4823/142?
Answer: GCF of Numerators as per given numbers 2245/50, 4823/142 is
GCF of Numerators i.e. for 2245,4823 is 1
LCM of denominators i.e. for 50,142 is 3550.
Thus, GCF of Fractions is 1/3550.Finally, GCF of Fractions for 2245/50, 4823/142 is 1/3550.