Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6267/745,6612/3425
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 6267,6612
Greatest Common Factor of Numerators i.e. GCF of 6267,6612 is 3 .
LCM of Denominators means LCM of 745,3425 as per the given fractions.
LCM of 745,3425 is 510325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6267,6612
3 | 6267, 6612 |
2089, 2204 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6267
List of positive integer factors of 6267 that divides 6267 without a remainder.
1,3,2089,6267
Factors of 6612
List of positive integer factors of 6612 that divides 6612 without a remainder.
1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612
Greatest Common Factor
We found the factors 6267,6612 . The biggest common factor number is the GCF number.
So the greatest common factor 6267,6612 is 3.
Lets's calculate LCM of 745,3425
5 | 745, 3425 |
149, 685 |
∴ So the LCM of the given numbers is 5 x 149 x 685 = 510325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/510325
Therefore, the GCF of Fractions 6267/745,6612/3425 is 3/510325
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 745,3425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,3425) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(745,3425) x common factors =5 x 1 = 5
LCM(745,3425) = ( 745 × 3425 ) / 5
LCM(745,3425) = 2551625 / 5
LCM(745,3425) = 510325
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 6267/745, 6612/3425?
Answer: GCF of Numerators as per given numbers 6267/745, 6612/3425 is
GCF of Numerators i.e. for 6267,6612 is 3
LCM of denominators i.e. for 745,3425 is 510325.
Thus, GCF of Fractions is 3/510325.Finally, GCF of Fractions for 6267/745, 6612/3425 is 3/510325.