Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2855/180,6048/7212
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 2855,6048
Greatest Common Factor of Numerators i.e. GCF of 2855,6048 is 1 .
LCM of Denominators means LCM of 180,7212 as per the given fractions.
LCM of 180,7212 is 108180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2855,6048
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2855
List of positive integer factors of 2855 that divides 2855 without a remainder.
1,5,571,2855
Factors of 6048
List of positive integer factors of 6048 that divides 6048 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048
Greatest Common Factor
We found the factors 2855,6048 . The biggest common factor number is the GCF number.
So the greatest common factor 2855,6048 is 1.
Lets's calculate LCM of 180,7212
2 | 180, 7212 |
2 | 90, 3606 |
3 | 45, 1803 |
15, 601 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 15 x 601 = 108180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108180
Therefore, the GCF of Fractions 2855/180,6048/7212 is 1/108180
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 180,7212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,7212) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(180,7212) x common factors =12 x 1 = 12
LCM(180,7212) = ( 180 × 7212 ) / 12
LCM(180,7212) = 1298160 / 12
LCM(180,7212) = 108180
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 2855/180, 6048/7212?
Answer: GCF of Numerators as per given numbers 2855/180, 6048/7212 is
GCF of Numerators i.e. for 2855,6048 is 1
LCM of denominators i.e. for 180,7212 is 108180.
Thus, GCF of Fractions is 1/108180.Finally, GCF of Fractions for 2855/180, 6048/7212 is 1/108180.