Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 275/36,443/61,699/865
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 275,443,699
Greatest Common Factor of Numerators i.e. GCF of 275,443,699 is 1 .
LCM of Denominators means LCM of 36,61,865 as per the given fractions.
LCM of 36,61,865 is 1899540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 275,443,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 275,443,699 . The biggest common factor number is the GCF number.
So the greatest common factor 275,443,699 is 1.
Lets's calculate LCM of 36,61,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 1899540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1899540
Therefore, the GCF of Fractions 275/36,443/61,699/865 is 1/1899540
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 36,61,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,61,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,61,865) x common factors =1 x 1 = 1
LCM(36,61,865) = ( 36 × 61 × 865 ) / 1
LCM(36,61,865) = 1899540 / 1
LCM(36,61,865) = 1899540
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 275/36, 443/61, 699/865?
Answer: GCF of Numerators as per given numbers 275/36, 443/61, 699/865 is
GCF of Numerators i.e. for 275,443,699 is 1
LCM of denominators i.e. for 36,61,865 is 1899540.
Thus, GCF of Fractions is 1/1899540.Finally, GCF of Fractions for 275/36, 443/61, 699/865 is 1/1899540.