Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/95,23/28,45/385,182/323
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 1,23,45,182
Greatest Common Factor of Numerators i.e. GCF of 1,23,45,182 is 1 .
LCM of Denominators means LCM of 95,28,385,323 as per the given fractions.
LCM of 95,28,385,323 is 497420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,23,45,182
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 1,23,45,182 . The biggest common factor number is the GCF number.
So the greatest common factor 1,23,45,182 is 1.
Lets's calculate LCM of 95,28,385,323
5 | 95, 28, 385, 323 |
7 | 19, 28, 77, 323 |
19 | 19, 4, 11, 323 |
1, 4, 11, 17 |
∴ So the LCM of the given numbers is 5 x 7 x 19 x 1 x 4 x 11 x 17 = 497420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497420
Therefore, the GCF of Fractions 1/95,23/28,45/385,182/323 is 1/497420
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 95,28,385,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,28,385,323) = 1
common factors(in case of two or more numbers have common factors) = 665
GCF(95,28,385,323) x common factors =1 x 665 = 665
LCM(95,28,385,323) = ( 95 × 28 × 385 × 323 ) / 665
LCM(95,28,385,323) = 330784300 / 665
LCM(95,28,385,323) = 497420
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 1/95, 23/28, 45/385, 182/323?
Answer: GCF of Numerators as per given numbers 1/95, 23/28, 45/385, 182/323 is
GCF of Numerators i.e. for 1,23,45,182 is 1
LCM of denominators i.e. for 95,28,385,323 is 497420.
Thus, GCF of Fractions is 1/497420.Finally, GCF of Fractions for 1/95, 23/28, 45/385, 182/323 is 1/497420.