Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/35,95/286,693/423
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 99,95,693
Greatest Common Factor of Numerators i.e. GCF of 99,95,693 is 1 .
LCM of Denominators means LCM of 35,286,423 as per the given fractions.
LCM of 35,286,423 is 4234230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,95,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 99,95,693 . The biggest common factor number is the GCF number.
So the greatest common factor 99,95,693 is 1.
Lets's calculate LCM of 35,286,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 4234230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4234230
Therefore, the GCF of Fractions 99/35,95/286,693/423 is 1/4234230
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 35,286,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,286,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,286,423) x common factors =1 x 1 = 1
LCM(35,286,423) = ( 35 × 286 × 423 ) / 1
LCM(35,286,423) = 4234230 / 1
LCM(35,286,423) = 4234230
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 99/35, 95/286, 693/423?
Answer: GCF of Numerators as per given numbers 99/35, 95/286, 693/423 is
GCF of Numerators i.e. for 99,95,693 is 1
LCM of denominators i.e. for 35,286,423 is 4234230.
Thus, GCF of Fractions is 1/4234230.Finally, GCF of Fractions for 99/35, 95/286, 693/423 is 1/4234230.