Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 105/897,411/906,877/782
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 105,411,877
Greatest Common Factor of Numerators i.e. GCF of 105,411,877 is 1 .
LCM of Denominators means LCM of 897,906,782 as per the given fractions.
LCM of 897,906,782 is 4605198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 105,411,877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Greatest Common Factor
We found the factors 105,411,877 . The biggest common factor number is the GCF number.
So the greatest common factor 105,411,877 is 1.
Lets's calculate LCM of 897,906,782
2 | 897, 906, 782 |
3 | 897, 453, 391 |
23 | 299, 151, 391 |
13, 151, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 13 x 151 x 17 = 4605198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4605198
Therefore, the GCF of Fractions 105/897,411/906,877/782 is 1/4605198
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 897,906,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,906,782) = 1
common factors(in case of two or more numbers have common factors) = 138
GCF(897,906,782) x common factors =1 x 138 = 138
LCM(897,906,782) = ( 897 × 906 × 782 ) / 138
LCM(897,906,782) = 635517324 / 138
LCM(897,906,782) = 4605198
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 105/897, 411/906, 877/782?
Answer: GCF of Numerators as per given numbers 105/897, 411/906, 877/782 is
GCF of Numerators i.e. for 105,411,877 is 1
LCM of denominators i.e. for 897,906,782 is 4605198.
Thus, GCF of Fractions is 1/4605198.Finally, GCF of Fractions for 105/897, 411/906, 877/782 is 1/4605198.