Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/91,93/971,899/666
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 73,93,899
Greatest Common Factor of Numerators i.e. GCF of 73,93,899 is 1 .
LCM of Denominators means LCM of 91,971,666 as per the given fractions.
LCM of 91,971,666 is 58848426 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,93,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 73,93,899 . The biggest common factor number is the GCF number.
So the greatest common factor 73,93,899 is 1.
Lets's calculate LCM of 91,971,666
Given numbers has no common factors except 1. So, there LCM is their product i.e 58848426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58848426
Therefore, the GCF of Fractions 73/91,93/971,899/666 is 1/58848426
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 91,971,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,971,666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,971,666) x common factors =1 x 1 = 1
LCM(91,971,666) = ( 91 × 971 × 666 ) / 1
LCM(91,971,666) = 58848426 / 1
LCM(91,971,666) = 58848426
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 73/91, 93/971, 899/666?
Answer: GCF of Numerators as per given numbers 73/91, 93/971, 899/666 is
GCF of Numerators i.e. for 73,93,899 is 1
LCM of denominators i.e. for 91,971,666 is 58848426.
Thus, GCF of Fractions is 1/58848426.Finally, GCF of Fractions for 73/91, 93/971, 899/666 is 1/58848426.