Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6256/648,3886/2680
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 6256,3886
Greatest Common Factor of Numerators i.e. GCF of 6256,3886 is 2 .
LCM of Denominators means LCM of 648,2680 as per the given fractions.
LCM of 648,2680 is 217080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6256,3886
2 | 6256, 3886 |
3128, 1943 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6256
List of positive integer factors of 6256 that divides 6256 without a remainder.
1,2,4,8,16,17,23,34,46,68,92,136,184,272,368,391,782,1564,3128,6256
Factors of 3886
List of positive integer factors of 3886 that divides 3886 without a remainder.
1,2,29,58,67,134,1943,3886
Greatest Common Factor
We found the factors 6256,3886 . The biggest common factor number is the GCF number.
So the greatest common factor 6256,3886 is 2.
Lets's calculate LCM of 648,2680
2 | 648, 2680 |
2 | 324, 1340 |
2 | 162, 670 |
81, 335 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 335 = 217080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/217080
Therefore, the GCF of Fractions 6256/648,3886/2680 is 2/217080
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 648,2680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,2680) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(648,2680) x common factors =8 x 1 = 8
LCM(648,2680) = ( 648 × 2680 ) / 8
LCM(648,2680) = 1736640 / 8
LCM(648,2680) = 217080
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 6256/648, 3886/2680?
Answer: GCF of Numerators as per given numbers 6256/648, 3886/2680 is
GCF of Numerators i.e. for 6256,3886 is 2
LCM of denominators i.e. for 648,2680 is 217080.
Thus, GCF of Fractions is 2/217080.Finally, GCF of Fractions for 6256/648, 3886/2680 is 2/217080.