Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/121,46/667,182/580
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 46,46,182
Greatest Common Factor of Numerators i.e. GCF of 46,46,182 is 2 .
LCM of Denominators means LCM of 121,667,580 as per the given fractions.
LCM of 121,667,580 is 1614140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,46,182
2 | 46, 46, 182 |
23, 23, 91 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 46,46,182 . The biggest common factor number is the GCF number.
So the greatest common factor 46,46,182 is 2.
Lets's calculate LCM of 121,667,580
29 | 121, 667, 580 |
121, 23, 20 |
∴ So the LCM of the given numbers is 29 x 121 x 23 x 20 = 1614140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1614140
Therefore, the GCF of Fractions 46/121,46/667,182/580 is 2/1614140
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 121,667,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,667,580) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(121,667,580) x common factors =1 x 29 = 29
LCM(121,667,580) = ( 121 × 667 × 580 ) / 29
LCM(121,667,580) = 46810060 / 29
LCM(121,667,580) = 1614140
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 46/121, 46/667, 182/580?
Answer: GCF of Numerators as per given numbers 46/121, 46/667, 182/580 is
GCF of Numerators i.e. for 46,46,182 is 2
LCM of denominators i.e. for 121,667,580 is 1614140.
Thus, GCF of Fractions is 2/1614140.Finally, GCF of Fractions for 46/121, 46/667, 182/580 is 2/1614140.