Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 906/65,477/93,386/406
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 906,477,386
Greatest Common Factor of Numerators i.e. GCF of 906,477,386 is 1 .
LCM of Denominators means LCM of 65,93,406 as per the given fractions.
LCM of 65,93,406 is 2454270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 906,477,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 906,477,386 . The biggest common factor number is the GCF number.
So the greatest common factor 906,477,386 is 1.
Lets's calculate LCM of 65,93,406
Given numbers has no common factors except 1. So, there LCM is their product i.e 2454270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2454270
Therefore, the GCF of Fractions 906/65,477/93,386/406 is 1/2454270
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 65,93,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,93,406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,93,406) x common factors =1 x 1 = 1
LCM(65,93,406) = ( 65 × 93 × 406 ) / 1
LCM(65,93,406) = 2454270 / 1
LCM(65,93,406) = 2454270
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 906/65, 477/93, 386/406?
Answer: GCF of Numerators as per given numbers 906/65, 477/93, 386/406 is
GCF of Numerators i.e. for 906,477,386 is 1
LCM of denominators i.e. for 65,93,406 is 2454270.
Thus, GCF of Fractions is 1/2454270.Finally, GCF of Fractions for 906/65, 477/93, 386/406 is 1/2454270.