Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/163,395/411,410/859
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 95,395,410
Greatest Common Factor of Numerators i.e. GCF of 95,395,410 is 5 .
LCM of Denominators means LCM of 163,411,859 as per the given fractions.
LCM of 163,411,859 is 57546987 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,395,410
5 | 95, 395, 410 |
19, 79, 82 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 95,395,410 . The biggest common factor number is the GCF number.
So the greatest common factor 95,395,410 is 5.
Lets's calculate LCM of 163,411,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 57546987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/57546987
Therefore, the GCF of Fractions 95/163,395/411,410/859 is 5/57546987
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 163,411,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,411,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,411,859) x common factors =1 x 1 = 1
LCM(163,411,859) = ( 163 × 411 × 859 ) / 1
LCM(163,411,859) = 57546987 / 1
LCM(163,411,859) = 57546987
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 95/163, 395/411, 410/859?
Answer: GCF of Numerators as per given numbers 95/163, 395/411, 410/859 is
GCF of Numerators i.e. for 95,395,410 is 5
LCM of denominators i.e. for 163,411,859 is 57546987.
Thus, GCF of Fractions is 5/57546987.Finally, GCF of Fractions for 95/163, 395/411, 410/859 is 5/57546987.