Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 143/979,1677/474
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 143,1677
Greatest Common Factor of Numerators i.e. GCF of 143,1677 is 13 .
LCM of Denominators means LCM of 979,474 as per the given fractions.
LCM of 979,474 is 464046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 143,1677
13 | 143, 1677 |
11, 129 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 1677
List of positive integer factors of 1677 that divides 1677 without a remainder.
1,3,13,39,43,129,559,1677
Greatest Common Factor
We found the factors 143,1677 . The biggest common factor number is the GCF number.
So the greatest common factor 143,1677 is 13.
Lets's calculate LCM of 979,474
Given numbers has no common factors except 1. So, there LCM is their product i.e 464046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/464046
Therefore, the GCF of Fractions 143/979,1677/474 is 13/464046
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 979,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,474) x common factors =1 x 1 = 1
LCM(979,474) = ( 979 × 474 ) / 1
LCM(979,474) = 464046 / 1
LCM(979,474) = 464046
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 143/979, 1677/474?
Answer: GCF of Numerators as per given numbers 143/979, 1677/474 is
GCF of Numerators i.e. for 143,1677 is 13
LCM of denominators i.e. for 979,474 is 464046.
Thus, GCF of Fractions is 13/464046.Finally, GCF of Fractions for 143/979, 1677/474 is 13/464046.