Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/44,83/59,334/581
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 18,83,334
Greatest Common Factor of Numerators i.e. GCF of 18,83,334 is 1 .
LCM of Denominators means LCM of 44,59,581 as per the given fractions.
LCM of 44,59,581 is 1508276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,83,334
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 18,83,334 . The biggest common factor number is the GCF number.
So the greatest common factor 18,83,334 is 1.
Lets's calculate LCM of 44,59,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 1508276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1508276
Therefore, the GCF of Fractions 18/44,83/59,334/581 is 1/1508276
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 44,59,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,59,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,59,581) x common factors =1 x 1 = 1
LCM(44,59,581) = ( 44 × 59 × 581 ) / 1
LCM(44,59,581) = 1508276 / 1
LCM(44,59,581) = 1508276
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 18/44, 83/59, 334/581?
Answer: GCF of Numerators as per given numbers 18/44, 83/59, 334/581 is
GCF of Numerators i.e. for 18,83,334 is 1
LCM of denominators i.e. for 44,59,581 is 1508276.
Thus, GCF of Fractions is 1/1508276.Finally, GCF of Fractions for 18/44, 83/59, 334/581 is 1/1508276.