Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 450/64,835/61,263/879
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 450,835,263
Greatest Common Factor of Numerators i.e. GCF of 450,835,263 is 1 .
LCM of Denominators means LCM of 64,61,879 as per the given fractions.
LCM of 64,61,879 is 3431616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 450,835,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Greatest Common Factor
We found the factors 450,835,263 . The biggest common factor number is the GCF number.
So the greatest common factor 450,835,263 is 1.
Lets's calculate LCM of 64,61,879
Given numbers has no common factors except 1. So, there LCM is their product i.e 3431616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3431616
Therefore, the GCF of Fractions 450/64,835/61,263/879 is 1/3431616
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 64,61,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,61,879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,61,879) x common factors =1 x 1 = 1
LCM(64,61,879) = ( 64 × 61 × 879 ) / 1
LCM(64,61,879) = 3431616 / 1
LCM(64,61,879) = 3431616
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 450/64, 835/61, 263/879?
Answer: GCF of Numerators as per given numbers 450/64, 835/61, 263/879 is
GCF of Numerators i.e. for 450,835,263 is 1
LCM of denominators i.e. for 64,61,879 is 3431616.
Thus, GCF of Fractions is 1/3431616.Finally, GCF of Fractions for 450/64, 835/61, 263/879 is 1/3431616.