Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/97,164/16,158/519
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 82,164,158
Greatest Common Factor of Numerators i.e. GCF of 82,164,158 is 2 .
LCM of Denominators means LCM of 97,16,519 as per the given fractions.
LCM of 97,16,519 is 805488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,164,158
2 | 82, 164, 158 |
41, 82, 79 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 82,164,158 . The biggest common factor number is the GCF number.
So the greatest common factor 82,164,158 is 2.
Lets's calculate LCM of 97,16,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 805488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/805488
Therefore, the GCF of Fractions 82/97,164/16,158/519 is 2/805488
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 97,16,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,16,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,16,519) x common factors =1 x 1 = 1
LCM(97,16,519) = ( 97 × 16 × 519 ) / 1
LCM(97,16,519) = 805488 / 1
LCM(97,16,519) = 805488
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 82/97, 164/16, 158/519?
Answer: GCF of Numerators as per given numbers 82/97, 164/16, 158/519 is
GCF of Numerators i.e. for 82,164,158 is 2
LCM of denominators i.e. for 97,16,519 is 805488.
Thus, GCF of Fractions is 2/805488.Finally, GCF of Fractions for 82/97, 164/16, 158/519 is 2/805488.