Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/725,99/381,969/692
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 17,99,969
Greatest Common Factor of Numerators i.e. GCF of 17,99,969 is 1 .
LCM of Denominators means LCM of 725,381,692 as per the given fractions.
LCM of 725,381,692 is 191147700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 17,99,969
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 17,99,969 . The biggest common factor number is the GCF number.
So the greatest common factor 17,99,969 is 1.
Lets's calculate LCM of 725,381,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 191147700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191147700
Therefore, the GCF of Fractions 17/725,99/381,969/692 is 1/191147700
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 725,381,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,381,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,381,692) x common factors =1 x 1 = 1
LCM(725,381,692) = ( 725 × 381 × 692 ) / 1
LCM(725,381,692) = 191147700 / 1
LCM(725,381,692) = 191147700
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 17/725, 99/381, 969/692?
Answer: GCF of Numerators as per given numbers 17/725, 99/381, 969/692 is
GCF of Numerators i.e. for 17,99,969 is 1
LCM of denominators i.e. for 725,381,692 is 191147700.
Thus, GCF of Fractions is 1/191147700.Finally, GCF of Fractions for 17/725, 99/381, 969/692 is 1/191147700.