Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/99,60/50,165/271
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 95,60,165
Greatest Common Factor of Numerators i.e. GCF of 95,60,165 is 5 .
LCM of Denominators means LCM of 99,50,271 as per the given fractions.
LCM of 99,50,271 is 1341450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,60,165
5 | 95, 60, 165 |
19, 12, 33 |
∴ 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 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 95,60,165 . The biggest common factor number is the GCF number.
So the greatest common factor 95,60,165 is 5.
Lets's calculate LCM of 99,50,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 1341450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1341450
Therefore, the GCF of Fractions 95/99,60/50,165/271 is 5/1341450
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 99,50,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,50,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,50,271) x common factors =1 x 1 = 1
LCM(99,50,271) = ( 99 × 50 × 271 ) / 1
LCM(99,50,271) = 1341450 / 1
LCM(99,50,271) = 1341450
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 95/99, 60/50, 165/271?
Answer: GCF of Numerators as per given numbers 95/99, 60/50, 165/271 is
GCF of Numerators i.e. for 95,60,165 is 5
LCM of denominators i.e. for 99,50,271 is 1341450.
Thus, GCF of Fractions is 5/1341450.Finally, GCF of Fractions for 95/99, 60/50, 165/271 is 5/1341450.