Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/82,266/15,350/31
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 1,266,350
Greatest Common Factor of Numerators i.e. GCF of 1,266,350 is 1 .
LCM of Denominators means LCM of 82,15,31 as per the given fractions.
LCM of 82,15,31 is 38130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,266,350
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 1,266,350 . The biggest common factor number is the GCF number.
So the greatest common factor 1,266,350 is 1.
Lets's calculate LCM of 82,15,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 38130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38130
Therefore, the GCF of Fractions 1/82,266/15,350/31 is 1/38130
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 82,15,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,15,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,15,31) x common factors =1 x 1 = 1
LCM(82,15,31) = ( 82 × 15 × 31 ) / 1
LCM(82,15,31) = 38130 / 1
LCM(82,15,31) = 38130
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 1/82, 266/15, 350/31?
Answer: GCF of Numerators as per given numbers 1/82, 266/15, 350/31 is
GCF of Numerators i.e. for 1,266,350 is 1
LCM of denominators i.e. for 82,15,31 is 38130.
Thus, GCF of Fractions is 1/38130.Finally, GCF of Fractions for 1/82, 266/15, 350/31 is 1/38130.