Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 799/79,923/75,318/743
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 799,923,318
Greatest Common Factor of Numerators i.e. GCF of 799,923,318 is 1 .
LCM of Denominators means LCM of 79,75,743 as per the given fractions.
LCM of 79,75,743 is 4402275 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 799,923,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 799,923,318 . The biggest common factor number is the GCF number.
So the greatest common factor 799,923,318 is 1.
Lets's calculate LCM of 79,75,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 4402275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4402275
Therefore, the GCF of Fractions 799/79,923/75,318/743 is 1/4402275
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 79,75,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,75,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,75,743) x common factors =1 x 1 = 1
LCM(79,75,743) = ( 79 × 75 × 743 ) / 1
LCM(79,75,743) = 4402275 / 1
LCM(79,75,743) = 4402275
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 799/79, 923/75, 318/743?
Answer: GCF of Numerators as per given numbers 799/79, 923/75, 318/743 is
GCF of Numerators i.e. for 799,923,318 is 1
LCM of denominators i.e. for 79,75,743 is 4402275.
Thus, GCF of Fractions is 1/4402275.Finally, GCF of Fractions for 799/79, 923/75, 318/743 is 1/4402275.