Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8787/649,4287/430
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 8787,4287
Greatest Common Factor of Numerators i.e. GCF of 8787,4287 is 3 .
LCM of Denominators means LCM of 649,430 as per the given fractions.
LCM of 649,430 is 279070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8787,4287
3 | 8787, 4287 |
2929, 1429 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8787
List of positive integer factors of 8787 that divides 8787 without a remainder.
1,3,29,87,101,303,2929,8787
Factors of 4287
List of positive integer factors of 4287 that divides 4287 without a remainder.
1,3,1429,4287
Greatest Common Factor
We found the factors 8787,4287 . The biggest common factor number is the GCF number.
So the greatest common factor 8787,4287 is 3.
Lets's calculate LCM of 649,430
Given numbers has no common factors except 1. So, there LCM is their product i.e 279070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/279070
Therefore, the GCF of Fractions 8787/649,4287/430 is 3/279070
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 649,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,430) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,430) x common factors =1 x 1 = 1
LCM(649,430) = ( 649 × 430 ) / 1
LCM(649,430) = 279070 / 1
LCM(649,430) = 279070
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 8787/649, 4287/430?
Answer: GCF of Numerators as per given numbers 8787/649, 4287/430 is
GCF of Numerators i.e. for 8787,4287 is 3
LCM of denominators i.e. for 649,430 is 279070.
Thus, GCF of Fractions is 3/279070.Finally, GCF of Fractions for 8787/649, 4287/430 is 3/279070.