Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3054/78,2644/942
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 3054,2644
Greatest Common Factor of Numerators i.e. GCF of 3054,2644 is 2 .
LCM of Denominators means LCM of 78,942 as per the given fractions.
LCM of 78,942 is 12246 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3054,2644
2 | 3054, 2644 |
1527, 1322 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3054
List of positive integer factors of 3054 that divides 3054 without a remainder.
1,2,3,6,509,1018,1527,3054
Factors of 2644
List of positive integer factors of 2644 that divides 2644 without a remainder.
1,2,4,661,1322,2644
Greatest Common Factor
We found the factors 3054,2644 . The biggest common factor number is the GCF number.
So the greatest common factor 3054,2644 is 2.
Lets's calculate LCM of 78,942
2 | 78, 942 |
3 | 39, 471 |
13, 157 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 157 = 12246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12246
Therefore, the GCF of Fractions 3054/78,2644/942 is 2/12246
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 78,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,942) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,942) x common factors =6 x 1 = 6
LCM(78,942) = ( 78 × 942 ) / 6
LCM(78,942) = 73476 / 6
LCM(78,942) = 12246
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 3054/78, 2644/942?
Answer: GCF of Numerators as per given numbers 3054/78, 2644/942 is
GCF of Numerators i.e. for 3054,2644 is 2
LCM of denominators i.e. for 78,942 is 12246.
Thus, GCF of Fractions is 2/12246.Finally, GCF of Fractions for 3054/78, 2644/942 is 2/12246.