Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/687,6768/3029
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 40,6768
Greatest Common Factor of Numerators i.e. GCF of 40,6768 is 8 .
LCM of Denominators means LCM of 687,3029 as per the given fractions.
LCM of 687,3029 is 2080923 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,6768
2 | 40, 6768 |
2 | 20, 3384 |
2 | 10, 1692 |
5, 846 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 6768
List of positive integer factors of 6768 that divides 6768 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768
Greatest Common Factor
We found the factors 40,6768 . The biggest common factor number is the GCF number.
So the greatest common factor 40,6768 is 8.
Lets's calculate LCM of 687,3029
Given numbers has no common factors except 1. So, there LCM is their product i.e 2080923
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2080923
Therefore, the GCF of Fractions 40/687,6768/3029 is 8/2080923
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 687,3029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,3029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,3029) x common factors =1 x 1 = 1
LCM(687,3029) = ( 687 × 3029 ) / 1
LCM(687,3029) = 2080923 / 1
LCM(687,3029) = 2080923
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 40/687, 6768/3029?
Answer: GCF of Numerators as per given numbers 40/687, 6768/3029 is
GCF of Numerators i.e. for 40,6768 is 8
LCM of denominators i.e. for 687,3029 is 2080923.
Thus, GCF of Fractions is 8/2080923.Finally, GCF of Fractions for 40/687, 6768/3029 is 8/2080923.