Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/11,639/82,750/61
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 448,639,750
Greatest Common Factor of Numerators i.e. GCF of 448,639,750 is 1 .
LCM of Denominators means LCM of 11,82,61 as per the given fractions.
LCM of 11,82,61 is 55022 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 448,639,750
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 448,639,750 . The biggest common factor number is the GCF number.
So the greatest common factor 448,639,750 is 1.
Lets's calculate LCM of 11,82,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 55022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55022
Therefore, the GCF of Fractions 448/11,639/82,750/61 is 1/55022
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 11,82,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,82,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,82,61) x common factors =1 x 1 = 1
LCM(11,82,61) = ( 11 × 82 × 61 ) / 1
LCM(11,82,61) = 55022 / 1
LCM(11,82,61) = 55022
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 448/11, 639/82, 750/61?
Answer: GCF of Numerators as per given numbers 448/11, 639/82, 750/61 is
GCF of Numerators i.e. for 448,639,750 is 1
LCM of denominators i.e. for 11,82,61 is 55022.
Thus, GCF of Fractions is 1/55022.Finally, GCF of Fractions for 448/11, 639/82, 750/61 is 1/55022.