Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 877/732,104/341,411/832
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 877,104,411
Greatest Common Factor of Numerators i.e. GCF of 877,104,411 is 1 .
LCM of Denominators means LCM of 732,341,832 as per the given fractions.
LCM of 732,341,832 is 51919296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 877,104,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 877,104,411 . The biggest common factor number is the GCF number.
So the greatest common factor 877,104,411 is 1.
Lets's calculate LCM of 732,341,832
2 | 732, 341, 832 |
2 | 366, 341, 416 |
183, 341, 208 |
∴ So the LCM of the given numbers is 2 x 2 x 183 x 341 x 208 = 51919296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51919296
Therefore, the GCF of Fractions 877/732,104/341,411/832 is 1/51919296
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 732,341,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,341,832) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(732,341,832) x common factors =1 x 4 = 4
LCM(732,341,832) = ( 732 × 341 × 832 ) / 4
LCM(732,341,832) = 207677184 / 4
LCM(732,341,832) = 51919296
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 877/732, 104/341, 411/832?
Answer: GCF of Numerators as per given numbers 877/732, 104/341, 411/832 is
GCF of Numerators i.e. for 877,104,411 is 1
LCM of denominators i.e. for 732,341,832 is 51919296.
Thus, GCF of Fractions is 1/51919296.Finally, GCF of Fractions for 877/732, 104/341, 411/832 is 1/51919296.