Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/11,563/93,332/709
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 818,563,332
Greatest Common Factor of Numerators i.e. GCF of 818,563,332 is 1 .
LCM of Denominators means LCM of 11,93,709 as per the given fractions.
LCM of 11,93,709 is 725307 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 818,563,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 818,563,332 . The biggest common factor number is the GCF number.
So the greatest common factor 818,563,332 is 1.
Lets's calculate LCM of 11,93,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 725307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/725307
Therefore, the GCF of Fractions 818/11,563/93,332/709 is 1/725307
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 11,93,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,93,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,93,709) x common factors =1 x 1 = 1
LCM(11,93,709) = ( 11 × 93 × 709 ) / 1
LCM(11,93,709) = 725307 / 1
LCM(11,93,709) = 725307
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 818/11, 563/93, 332/709?
Answer: GCF of Numerators as per given numbers 818/11, 563/93, 332/709 is
GCF of Numerators i.e. for 818,563,332 is 1
LCM of denominators i.e. for 11,93,709 is 725307.
Thus, GCF of Fractions is 1/725307.Finally, GCF of Fractions for 818/11, 563/93, 332/709 is 1/725307.