Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/882,58/204,914/850
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 38,58,914
Greatest Common Factor of Numerators i.e. GCF of 38,58,914 is 2 .
LCM of Denominators means LCM of 882,204,850 as per the given fractions.
LCM of 882,204,850 is 749700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,58,914
2 | 38, 58, 914 |
19, 29, 457 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 38,58,914 . The biggest common factor number is the GCF number.
So the greatest common factor 38,58,914 is 2.
Lets's calculate LCM of 882,204,850
2 | 882, 204, 850 |
3 | 441, 102, 425 |
17 | 147, 34, 425 |
147, 2, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 147 x 2 x 25 = 749700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/749700
Therefore, the GCF of Fractions 38/882,58/204,914/850 is 2/749700
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 882,204,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,204,850) = 2
common factors(in case of two or more numbers have common factors) = 102
GCF(882,204,850) x common factors =2 x 102 = 204
LCM(882,204,850) = ( 882 × 204 × 850 ) / 204
LCM(882,204,850) = 152938800 / 204
LCM(882,204,850) = 749700
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 38/882, 58/204, 914/850?
Answer: GCF of Numerators as per given numbers 38/882, 58/204, 914/850 is
GCF of Numerators i.e. for 38,58,914 is 2
LCM of denominators i.e. for 882,204,850 is 749700.
Thus, GCF of Fractions is 2/749700.Finally, GCF of Fractions for 38/882, 58/204, 914/850 is 2/749700.