Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/11,678/46,798/789
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 155,678,798
Greatest Common Factor of Numerators i.e. GCF of 155,678,798 is 1 .
LCM of Denominators means LCM of 11,46,789 as per the given fractions.
LCM of 11,46,789 is 399234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 155,678,798
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 155,678,798 . The biggest common factor number is the GCF number.
So the greatest common factor 155,678,798 is 1.
Lets's calculate LCM of 11,46,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 399234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399234
Therefore, the GCF of Fractions 155/11,678/46,798/789 is 1/399234
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 11,46,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,46,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,46,789) x common factors =1 x 1 = 1
LCM(11,46,789) = ( 11 × 46 × 789 ) / 1
LCM(11,46,789) = 399234 / 1
LCM(11,46,789) = 399234
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 155/11, 678/46, 798/789?
Answer: GCF of Numerators as per given numbers 155/11, 678/46, 798/789 is
GCF of Numerators i.e. for 155,678,798 is 1
LCM of denominators i.e. for 11,46,789 is 399234.
Thus, GCF of Fractions is 1/399234.Finally, GCF of Fractions for 155/11, 678/46, 798/789 is 1/399234.