Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/71,100/337
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 818,100
Greatest Common Factor of Numerators i.e. GCF of 818,100 is 2 .
LCM of Denominators means LCM of 71,337 as per the given fractions.
LCM of 71,337 is 23927 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 818,100
2 | 818, 100 |
409, 50 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 818,100 . The biggest common factor number is the GCF number.
So the greatest common factor 818,100 is 2.
Lets's calculate LCM of 71,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 23927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23927
Therefore, the GCF of Fractions 818/71,100/337 is 2/23927
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 71,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,337) x common factors =1 x 1 = 1
LCM(71,337) = ( 71 × 337 ) / 1
LCM(71,337) = 23927 / 1
LCM(71,337) = 23927
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 818/71, 100/337?
Answer: GCF of Numerators as per given numbers 818/71, 100/337 is
GCF of Numerators i.e. for 818,100 is 2
LCM of denominators i.e. for 71,337 is 23927.
Thus, GCF of Fractions is 2/23927.Finally, GCF of Fractions for 818/71, 100/337 is 2/23927.