Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/94,158/4472
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 886,158
Greatest Common Factor of Numerators i.e. GCF of 886,158 is 2 .
LCM of Denominators means LCM of 94,4472 as per the given fractions.
LCM of 94,4472 is 210184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 886,158
2 | 886, 158 |
443, 79 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 886,158 . The biggest common factor number is the GCF number.
So the greatest common factor 886,158 is 2.
Lets's calculate LCM of 94,4472
2 | 94, 4472 |
47, 2236 |
∴ So the LCM of the given numbers is 2 x 47 x 2236 = 210184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210184
Therefore, the GCF of Fractions 886/94,158/4472 is 2/210184
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 94,4472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,4472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,4472) x common factors =2 x 1 = 2
LCM(94,4472) = ( 94 × 4472 ) / 2
LCM(94,4472) = 420368 / 2
LCM(94,4472) = 210184
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 886/94, 158/4472?
Answer: GCF of Numerators as per given numbers 886/94, 158/4472 is
GCF of Numerators i.e. for 886,158 is 2
LCM of denominators i.e. for 94,4472 is 210184.
Thus, GCF of Fractions is 2/210184.Finally, GCF of Fractions for 886/94, 158/4472 is 2/210184.