Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2417/453,6764/3021
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 2417,6764
Greatest Common Factor of Numerators i.e. GCF of 2417,6764 is 1 .
LCM of Denominators means LCM of 453,3021 as per the given fractions.
LCM of 453,3021 is 456171 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2417,6764
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2417
List of positive integer factors of 2417 that divides 2417 without a remainder.
1,2417
Factors of 6764
List of positive integer factors of 6764 that divides 6764 without a remainder.
1,2,4,19,38,76,89,178,356,1691,3382,6764
Greatest Common Factor
We found the factors 2417,6764 . The biggest common factor number is the GCF number.
So the greatest common factor 2417,6764 is 1.
Lets's calculate LCM of 453,3021
3 | 453, 3021 |
151, 1007 |
∴ So the LCM of the given numbers is 3 x 151 x 1007 = 456171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/456171
Therefore, the GCF of Fractions 2417/453,6764/3021 is 1/456171
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 453,3021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,3021) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(453,3021) x common factors =3 x 1 = 3
LCM(453,3021) = ( 453 × 3021 ) / 3
LCM(453,3021) = 1368513 / 3
LCM(453,3021) = 456171
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 2417/453, 6764/3021?
Answer: GCF of Numerators as per given numbers 2417/453, 6764/3021 is
GCF of Numerators i.e. for 2417,6764 is 1
LCM of denominators i.e. for 453,3021 is 456171.
Thus, GCF of Fractions is 1/456171.Finally, GCF of Fractions for 2417/453, 6764/3021 is 1/456171.