Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/86,940/75,155/41
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 79,940,155
Greatest Common Factor of Numerators i.e. GCF of 79,940,155 is 1 .
LCM of Denominators means LCM of 86,75,41 as per the given fractions.
LCM of 86,75,41 is 264450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,940,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 79,940,155 . The biggest common factor number is the GCF number.
So the greatest common factor 79,940,155 is 1.
Lets's calculate LCM of 86,75,41
Given numbers has no common factors except 1. So, there LCM is their product i.e 264450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264450
Therefore, the GCF of Fractions 79/86,940/75,155/41 is 1/264450
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 86,75,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,75,41) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,75,41) x common factors =1 x 1 = 1
LCM(86,75,41) = ( 86 × 75 × 41 ) / 1
LCM(86,75,41) = 264450 / 1
LCM(86,75,41) = 264450
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 79/86, 940/75, 155/41?
Answer: GCF of Numerators as per given numbers 79/86, 940/75, 155/41 is
GCF of Numerators i.e. for 79,940,155 is 1
LCM of denominators i.e. for 86,75,41 is 264450.
Thus, GCF of Fractions is 1/264450.Finally, GCF of Fractions for 79/86, 940/75, 155/41 is 1/264450.