Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 237/52,1747/606
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 237,1747
Greatest Common Factor of Numerators i.e. GCF of 237,1747 is 1 .
LCM of Denominators means LCM of 52,606 as per the given fractions.
LCM of 52,606 is 15756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 237,1747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 1747
List of positive integer factors of 1747 that divides 1747 without a remainder.
1,1747
Greatest Common Factor
We found the factors 237,1747 . The biggest common factor number is the GCF number.
So the greatest common factor 237,1747 is 1.
Lets's calculate LCM of 52,606
2 | 52, 606 |
26, 303 |
∴ So the LCM of the given numbers is 2 x 26 x 303 = 15756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15756
Therefore, the GCF of Fractions 237/52,1747/606 is 1/15756
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 52,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(52,606) x common factors =2 x 1 = 2
LCM(52,606) = ( 52 × 606 ) / 2
LCM(52,606) = 31512 / 2
LCM(52,606) = 15756
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 237/52, 1747/606?
Answer: GCF of Numerators as per given numbers 237/52, 1747/606 is
GCF of Numerators i.e. for 237,1747 is 1
LCM of denominators i.e. for 52,606 is 15756.
Thus, GCF of Fractions is 1/15756.Finally, GCF of Fractions for 237/52, 1747/606 is 1/15756.