Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 826/118,2185/906
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 826,2185
Greatest Common Factor of Numerators i.e. GCF of 826,2185 is 1 .
LCM of Denominators means LCM of 118,906 as per the given fractions.
LCM of 118,906 is 53454 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 826,2185
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 2185
List of positive integer factors of 2185 that divides 2185 without a remainder.
1,5,19,23,95,115,437,2185
Greatest Common Factor
We found the factors 826,2185 . The biggest common factor number is the GCF number.
So the greatest common factor 826,2185 is 1.
Lets's calculate LCM of 118,906
2 | 118, 906 |
59, 453 |
∴ So the LCM of the given numbers is 2 x 59 x 453 = 53454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53454
Therefore, the GCF of Fractions 826/118,2185/906 is 1/53454
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 118,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,906) x common factors =2 x 1 = 2
LCM(118,906) = ( 118 × 906 ) / 2
LCM(118,906) = 106908 / 2
LCM(118,906) = 53454
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 826/118, 2185/906?
Answer: GCF of Numerators as per given numbers 826/118, 2185/906 is
GCF of Numerators i.e. for 826,2185 is 1
LCM of denominators i.e. for 118,906 is 53454.
Thus, GCF of Fractions is 1/53454.Finally, GCF of Fractions for 826/118, 2185/906 is 1/53454.