Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/326,764/578
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 943,764
Greatest Common Factor of Numerators i.e. GCF of 943,764 is 1 .
LCM of Denominators means LCM of 326,578 as per the given fractions.
LCM of 326,578 is 94214 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 943,764
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Greatest Common Factor
We found the factors 943,764 . The biggest common factor number is the GCF number.
So the greatest common factor 943,764 is 1.
Lets's calculate LCM of 326,578
2 | 326, 578 |
163, 289 |
∴ So the LCM of the given numbers is 2 x 163 x 289 = 94214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94214
Therefore, the GCF of Fractions 943/326,764/578 is 1/94214
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 326,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,578) x common factors =2 x 1 = 2
LCM(326,578) = ( 326 × 578 ) / 2
LCM(326,578) = 188428 / 2
LCM(326,578) = 94214
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 943/326, 764/578?
Answer: GCF of Numerators as per given numbers 943/326, 764/578 is
GCF of Numerators i.e. for 943,764 is 1
LCM of denominators i.e. for 326,578 is 94214.
Thus, GCF of Fractions is 1/94214.Finally, GCF of Fractions for 943/326, 764/578 is 1/94214.