Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1218/750,4146/1044
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 1218,4146
Greatest Common Factor of Numerators i.e. GCF of 1218,4146 is 6 .
LCM of Denominators means LCM of 750,1044 as per the given fractions.
LCM of 750,1044 is 130500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1218,4146
2 | 1218, 4146 |
3 | 609, 2073 |
203, 691 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1218
List of positive integer factors of 1218 that divides 1218 without a remainder.
1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218
Factors of 4146
List of positive integer factors of 4146 that divides 4146 without a remainder.
1,2,3,6,691,1382,2073,4146
Greatest Common Factor
We found the factors 1218,4146 . The biggest common factor number is the GCF number.
So the greatest common factor 1218,4146 is 6.
Lets's calculate LCM of 750,1044
2 | 750, 1044 |
3 | 375, 522 |
125, 174 |
∴ So the LCM of the given numbers is 2 x 3 x 125 x 174 = 130500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/130500
Therefore, the GCF of Fractions 1218/750,4146/1044 is 6/130500
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 750,1044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,1044) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(750,1044) x common factors =6 x 1 = 6
LCM(750,1044) = ( 750 × 1044 ) / 6
LCM(750,1044) = 783000 / 6
LCM(750,1044) = 130500
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 1218/750, 4146/1044?
Answer: GCF of Numerators as per given numbers 1218/750, 4146/1044 is
GCF of Numerators i.e. for 1218,4146 is 6
LCM of denominators i.e. for 750,1044 is 130500.
Thus, GCF of Fractions is 6/130500.Finally, GCF of Fractions for 1218/750, 4146/1044 is 6/130500.