Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 733/90,222/79,445/511
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 733,222,445
Greatest Common Factor of Numerators i.e. GCF of 733,222,445 is 1 .
LCM of Denominators means LCM of 90,79,511 as per the given fractions.
LCM of 90,79,511 is 3633210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 733,222,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 733,222,445 . The biggest common factor number is the GCF number.
So the greatest common factor 733,222,445 is 1.
Lets's calculate LCM of 90,79,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 3633210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3633210
Therefore, the GCF of Fractions 733/90,222/79,445/511 is 1/3633210
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 90,79,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,79,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,79,511) x common factors =1 x 1 = 1
LCM(90,79,511) = ( 90 × 79 × 511 ) / 1
LCM(90,79,511) = 3633210 / 1
LCM(90,79,511) = 3633210
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 733/90, 222/79, 445/511?
Answer: GCF of Numerators as per given numbers 733/90, 222/79, 445/511 is
GCF of Numerators i.e. for 733,222,445 is 1
LCM of denominators i.e. for 90,79,511 is 3633210.
Thus, GCF of Fractions is 1/3633210.Finally, GCF of Fractions for 733/90, 222/79, 445/511 is 1/3633210.