Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/338,9681/7019
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 56,9681
Greatest Common Factor of Numerators i.e. GCF of 56,9681 is 7 .
LCM of Denominators means LCM of 338,7019 as per the given fractions.
LCM of 338,7019 is 2372422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,9681
7 | 56, 9681 |
8, 1383 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 9681
List of positive integer factors of 9681 that divides 9681 without a remainder.
1,3,7,21,461,1383,3227,9681
Greatest Common Factor
We found the factors 56,9681 . The biggest common factor number is the GCF number.
So the greatest common factor 56,9681 is 7.
Lets's calculate LCM of 338,7019
Given numbers has no common factors except 1. So, there LCM is their product i.e 2372422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2372422
Therefore, the GCF of Fractions 56/338,9681/7019 is 7/2372422
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 338,7019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,7019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,7019) x common factors =1 x 1 = 1
LCM(338,7019) = ( 338 × 7019 ) / 1
LCM(338,7019) = 2372422 / 1
LCM(338,7019) = 2372422
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 56/338, 9681/7019?
Answer: GCF of Numerators as per given numbers 56/338, 9681/7019 is
GCF of Numerators i.e. for 56,9681 is 7
LCM of denominators i.e. for 338,7019 is 2372422.
Thus, GCF of Fractions is 7/2372422.Finally, GCF of Fractions for 56/338, 9681/7019 is 7/2372422.