Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4208/45,1785/177
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 4208,1785
Greatest Common Factor of Numerators i.e. GCF of 4208,1785 is 1 .
LCM of Denominators means LCM of 45,177 as per the given fractions.
LCM of 45,177 is 2655 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4208,1785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4208
List of positive integer factors of 4208 that divides 4208 without a remainder.
1,2,4,8,16,263,526,1052,2104,4208
Factors of 1785
List of positive integer factors of 1785 that divides 1785 without a remainder.
1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Greatest Common Factor
We found the factors 4208,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 4208,1785 is 1.
Lets's calculate LCM of 45,177
3 | 45, 177 |
15, 59 |
∴ So the LCM of the given numbers is 3 x 15 x 59 = 2655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2655
Therefore, the GCF of Fractions 4208/45,1785/177 is 1/2655
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 45,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,177) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(45,177) x common factors =3 x 1 = 3
LCM(45,177) = ( 45 × 177 ) / 3
LCM(45,177) = 7965 / 3
LCM(45,177) = 2655
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 4208/45, 1785/177?
Answer: GCF of Numerators as per given numbers 4208/45, 1785/177 is
GCF of Numerators i.e. for 4208,1785 is 1
LCM of denominators i.e. for 45,177 is 2655.
Thus, GCF of Fractions is 1/2655.Finally, GCF of Fractions for 4208/45, 1785/177 is 1/2655.