Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/23,41/51,406/130
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 69,41,406
Greatest Common Factor of Numerators i.e. GCF of 69,41,406 is 1 .
LCM of Denominators means LCM of 23,51,130 as per the given fractions.
LCM of 23,51,130 is 152490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,41,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 69,41,406 . The biggest common factor number is the GCF number.
So the greatest common factor 69,41,406 is 1.
Lets's calculate LCM of 23,51,130
Given numbers has no common factors except 1. So, there LCM is their product i.e 152490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152490
Therefore, the GCF of Fractions 69/23,41/51,406/130 is 1/152490
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 23,51,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,51,130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,51,130) x common factors =1 x 1 = 1
LCM(23,51,130) = ( 23 × 51 × 130 ) / 1
LCM(23,51,130) = 152490 / 1
LCM(23,51,130) = 152490
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 69/23, 41/51, 406/130?
Answer: GCF of Numerators as per given numbers 69/23, 41/51, 406/130 is
GCF of Numerators i.e. for 69,41,406 is 1
LCM of denominators i.e. for 23,51,130 is 152490.
Thus, GCF of Fractions is 1/152490.Finally, GCF of Fractions for 69/23, 41/51, 406/130 is 1/152490.