Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6687/50,5050/788
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 6687,5050
Greatest Common Factor of Numerators i.e. GCF of 6687,5050 is 1 .
LCM of Denominators means LCM of 50,788 as per the given fractions.
LCM of 50,788 is 19700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6687,5050
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6687
List of positive integer factors of 6687 that divides 6687 without a remainder.
1,3,9,743,2229,6687
Factors of 5050
List of positive integer factors of 5050 that divides 5050 without a remainder.
1,2,5,10,25,50,101,202,505,1010,2525,5050
Greatest Common Factor
We found the factors 6687,5050 . The biggest common factor number is the GCF number.
So the greatest common factor 6687,5050 is 1.
Lets's calculate LCM of 50,788
2 | 50, 788 |
25, 394 |
∴ So the LCM of the given numbers is 2 x 25 x 394 = 19700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19700
Therefore, the GCF of Fractions 6687/50,5050/788 is 1/19700
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 50,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,788) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,788) x common factors =2 x 1 = 2
LCM(50,788) = ( 50 × 788 ) / 2
LCM(50,788) = 39400 / 2
LCM(50,788) = 19700
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 6687/50, 5050/788?
Answer: GCF of Numerators as per given numbers 6687/50, 5050/788 is
GCF of Numerators i.e. for 6687,5050 is 1
LCM of denominators i.e. for 50,788 is 19700.
Thus, GCF of Fractions is 1/19700.Finally, GCF of Fractions for 6687/50, 5050/788 is 1/19700.