Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 253/96,147/22,584/206
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 253,147,584
Greatest Common Factor of Numerators i.e. GCF of 253,147,584 is 1 .
LCM of Denominators means LCM of 96,22,206 as per the given fractions.
LCM of 96,22,206 is 108768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 253,147,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 253,147,584 . The biggest common factor number is the GCF number.
So the greatest common factor 253,147,584 is 1.
Lets's calculate LCM of 96,22,206
2 | 96, 22, 206 |
48, 11, 103 |
∴ So the LCM of the given numbers is 2 x 48 x 11 x 103 = 108768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108768
Therefore, the GCF of Fractions 253/96,147/22,584/206 is 1/108768
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 96,22,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,22,206) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(96,22,206) x common factors =2 x 2 = 4
LCM(96,22,206) = ( 96 × 22 × 206 ) / 4
LCM(96,22,206) = 435072 / 4
LCM(96,22,206) = 108768
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 253/96, 147/22, 584/206?
Answer: GCF of Numerators as per given numbers 253/96, 147/22, 584/206 is
GCF of Numerators i.e. for 253,147,584 is 1
LCM of denominators i.e. for 96,22,206 is 108768.
Thus, GCF of Fractions is 1/108768.Finally, GCF of Fractions for 253/96, 147/22, 584/206 is 1/108768.