Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2239/66,9942/732
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 2239,9942
Greatest Common Factor of Numerators i.e. GCF of 2239,9942 is 1 .
LCM of Denominators means LCM of 66,732 as per the given fractions.
LCM of 66,732 is 8052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2239,9942
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2239
List of positive integer factors of 2239 that divides 2239 without a remainder.
1,2239
Factors of 9942
List of positive integer factors of 9942 that divides 9942 without a remainder.
1,2,3,6,1657,3314,4971,9942
Greatest Common Factor
We found the factors 2239,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 2239,9942 is 1.
Lets's calculate LCM of 66,732
2 | 66, 732 |
3 | 33, 366 |
11, 122 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 122 = 8052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8052
Therefore, the GCF of Fractions 2239/66,9942/732 is 1/8052
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 66,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,732) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(66,732) x common factors =6 x 1 = 6
LCM(66,732) = ( 66 × 732 ) / 6
LCM(66,732) = 48312 / 6
LCM(66,732) = 8052
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 2239/66, 9942/732?
Answer: GCF of Numerators as per given numbers 2239/66, 9942/732 is
GCF of Numerators i.e. for 2239,9942 is 1
LCM of denominators i.e. for 66,732 is 8052.
Thus, GCF of Fractions is 1/8052.Finally, GCF of Fractions for 2239/66, 9942/732 is 1/8052.