Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1030/371,3034/2751
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 1030,3034
Greatest Common Factor of Numerators i.e. GCF of 1030,3034 is 2 .
LCM of Denominators means LCM of 371,2751 as per the given fractions.
LCM of 371,2751 is 145803 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1030,3034
2 | 1030, 3034 |
515, 1517 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1030
List of positive integer factors of 1030 that divides 1030 without a remainder.
1,2,5,10,103,206,515,1030
Factors of 3034
List of positive integer factors of 3034 that divides 3034 without a remainder.
1,2,37,41,74,82,1517,3034
Greatest Common Factor
We found the factors 1030,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 1030,3034 is 2.
Lets's calculate LCM of 371,2751
7 | 371, 2751 |
53, 393 |
∴ So the LCM of the given numbers is 7 x 53 x 393 = 145803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145803
Therefore, the GCF of Fractions 1030/371,3034/2751 is 2/145803
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 371,2751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,2751) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(371,2751) x common factors =7 x 1 = 7
LCM(371,2751) = ( 371 × 2751 ) / 7
LCM(371,2751) = 1020621 / 7
LCM(371,2751) = 145803
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 1030/371, 3034/2751?
Answer: GCF of Numerators as per given numbers 1030/371, 3034/2751 is
GCF of Numerators i.e. for 1030,3034 is 2
LCM of denominators i.e. for 371,2751 is 145803.
Thus, GCF of Fractions is 2/145803.Finally, GCF of Fractions for 1030/371, 3034/2751 is 2/145803.