Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 537/19,411/5500
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 537,411
Greatest Common Factor of Numerators i.e. GCF of 537,411 is 3 .
LCM of Denominators means LCM of 19,5500 as per the given fractions.
LCM of 19,5500 is 104500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 537,411
3 | 537, 411 |
179, 137 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 537,411 . The biggest common factor number is the GCF number.
So the greatest common factor 537,411 is 3.
Lets's calculate LCM of 19,5500
Given numbers has no common factors except 1. So, there LCM is their product i.e 104500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/104500
Therefore, the GCF of Fractions 537/19,411/5500 is 3/104500
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 19,5500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,5500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,5500) x common factors =1 x 1 = 1
LCM(19,5500) = ( 19 × 5500 ) / 1
LCM(19,5500) = 104500 / 1
LCM(19,5500) = 104500
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 537/19, 411/5500?
Answer: GCF of Numerators as per given numbers 537/19, 411/5500 is
GCF of Numerators i.e. for 537,411 is 3
LCM of denominators i.e. for 19,5500 is 104500.
Thus, GCF of Fractions is 3/104500.Finally, GCF of Fractions for 537/19, 411/5500 is 3/104500.