Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 958/938,2578/229
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 958,2578
Greatest Common Factor of Numerators i.e. GCF of 958,2578 is 2 .
LCM of Denominators means LCM of 938,229 as per the given fractions.
LCM of 938,229 is 214802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 958,2578
2 | 958, 2578 |
479, 1289 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 2578
List of positive integer factors of 2578 that divides 2578 without a remainder.
1,2,1289,2578
Greatest Common Factor
We found the factors 958,2578 . The biggest common factor number is the GCF number.
So the greatest common factor 958,2578 is 2.
Lets's calculate LCM of 938,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 214802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/214802
Therefore, the GCF of Fractions 958/938,2578/229 is 2/214802
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 938,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,229) x common factors =1 x 1 = 1
LCM(938,229) = ( 938 × 229 ) / 1
LCM(938,229) = 214802 / 1
LCM(938,229) = 214802
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 958/938, 2578/229?
Answer: GCF of Numerators as per given numbers 958/938, 2578/229 is
GCF of Numerators i.e. for 958,2578 is 2
LCM of denominators i.e. for 938,229 is 214802.
Thus, GCF of Fractions is 2/214802.Finally, GCF of Fractions for 958/938, 2578/229 is 2/214802.