Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6747/418,5073/108
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 6747,5073
Greatest Common Factor of Numerators i.e. GCF of 6747,5073 is 3 .
LCM of Denominators means LCM of 418,108 as per the given fractions.
LCM of 418,108 is 22572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6747,5073
3 | 6747, 5073 |
2249, 1691 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6747
List of positive integer factors of 6747 that divides 6747 without a remainder.
1,3,13,39,173,519,2249,6747
Factors of 5073
List of positive integer factors of 5073 that divides 5073 without a remainder.
1,3,19,57,89,267,1691,5073
Greatest Common Factor
We found the factors 6747,5073 . The biggest common factor number is the GCF number.
So the greatest common factor 6747,5073 is 3.
Lets's calculate LCM of 418,108
2 | 418, 108 |
209, 54 |
∴ So the LCM of the given numbers is 2 x 209 x 54 = 22572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22572
Therefore, the GCF of Fractions 6747/418,5073/108 is 3/22572
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 418,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,108) x common factors =2 x 1 = 2
LCM(418,108) = ( 418 × 108 ) / 2
LCM(418,108) = 45144 / 2
LCM(418,108) = 22572
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 6747/418, 5073/108?
Answer: GCF of Numerators as per given numbers 6747/418, 5073/108 is
GCF of Numerators i.e. for 6747,5073 is 3
LCM of denominators i.e. for 418,108 is 22572.
Thus, GCF of Fractions is 3/22572.Finally, GCF of Fractions for 6747/418, 5073/108 is 3/22572.