Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1361/408,5182/654
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 1361,5182
Greatest Common Factor of Numerators i.e. GCF of 1361,5182 is 1 .
LCM of Denominators means LCM of 408,654 as per the given fractions.
LCM of 408,654 is 44472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1361,5182
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1361
List of positive integer factors of 1361 that divides 1361 without a remainder.
1,1361
Factors of 5182
List of positive integer factors of 5182 that divides 5182 without a remainder.
1,2,2591,5182
Greatest Common Factor
We found the factors 1361,5182 . The biggest common factor number is the GCF number.
So the greatest common factor 1361,5182 is 1.
Lets's calculate LCM of 408,654
2 | 408, 654 |
3 | 204, 327 |
68, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 68 x 109 = 44472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44472
Therefore, the GCF of Fractions 1361/408,5182/654 is 1/44472
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 408,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,654) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(408,654) x common factors =6 x 1 = 6
LCM(408,654) = ( 408 × 654 ) / 6
LCM(408,654) = 266832 / 6
LCM(408,654) = 44472
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 1361/408, 5182/654?
Answer: GCF of Numerators as per given numbers 1361/408, 5182/654 is
GCF of Numerators i.e. for 1361,5182 is 1
LCM of denominators i.e. for 408,654 is 44472.
Thus, GCF of Fractions is 1/44472.Finally, GCF of Fractions for 1361/408, 5182/654 is 1/44472.