Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/469,950/271,493/955
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 23,950,493
Greatest Common Factor of Numerators i.e. GCF of 23,950,493 is 1 .
LCM of Denominators means LCM of 469,271,955 as per the given fractions.
LCM of 469,271,955 is 121379545 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,950,493
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Greatest Common Factor
We found the factors 23,950,493 . The biggest common factor number is the GCF number.
So the greatest common factor 23,950,493 is 1.
Lets's calculate LCM of 469,271,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 121379545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121379545
Therefore, the GCF of Fractions 23/469,950/271,493/955 is 1/121379545
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 469,271,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,271,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,271,955) x common factors =1 x 1 = 1
LCM(469,271,955) = ( 469 × 271 × 955 ) / 1
LCM(469,271,955) = 121379545 / 1
LCM(469,271,955) = 121379545
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 23/469, 950/271, 493/955?
Answer: GCF of Numerators as per given numbers 23/469, 950/271, 493/955 is
GCF of Numerators i.e. for 23,950,493 is 1
LCM of denominators i.e. for 469,271,955 is 121379545.
Thus, GCF of Fractions is 1/121379545.Finally, GCF of Fractions for 23/469, 950/271, 493/955 is 1/121379545.