Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2266/95,3216/134
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 2266,3216
Greatest Common Factor of Numerators i.e. GCF of 2266,3216 is 2 .
LCM of Denominators means LCM of 95,134 as per the given fractions.
LCM of 95,134 is 12730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2266,3216
2 | 2266, 3216 |
1133, 1608 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2266
List of positive integer factors of 2266 that divides 2266 without a remainder.
1,2,11,22,103,206,1133,2266
Factors of 3216
List of positive integer factors of 3216 that divides 3216 without a remainder.
1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216
Greatest Common Factor
We found the factors 2266,3216 . The biggest common factor number is the GCF number.
So the greatest common factor 2266,3216 is 2.
Lets's calculate LCM of 95,134
Given numbers has no common factors except 1. So, there LCM is their product i.e 12730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12730
Therefore, the GCF of Fractions 2266/95,3216/134 is 2/12730
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 95,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,134) x common factors =1 x 1 = 1
LCM(95,134) = ( 95 × 134 ) / 1
LCM(95,134) = 12730 / 1
LCM(95,134) = 12730
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 2266/95, 3216/134?
Answer: GCF of Numerators as per given numbers 2266/95, 3216/134 is
GCF of Numerators i.e. for 2266,3216 is 2
LCM of denominators i.e. for 95,134 is 12730.
Thus, GCF of Fractions is 2/12730.Finally, GCF of Fractions for 2266/95, 3216/134 is 2/12730.