Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9705/51,4745/850
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 9705,4745
Greatest Common Factor of Numerators i.e. GCF of 9705,4745 is 5 .
LCM of Denominators means LCM of 51,850 as per the given fractions.
LCM of 51,850 is 2550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9705,4745
5 | 9705, 4745 |
1941, 949 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9705
List of positive integer factors of 9705 that divides 9705 without a remainder.
1,3,5,15,647,1941,3235,9705
Factors of 4745
List of positive integer factors of 4745 that divides 4745 without a remainder.
1,5,13,65,73,365,949,4745
Greatest Common Factor
We found the factors 9705,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 9705,4745 is 5.
Lets's calculate LCM of 51,850
17 | 51, 850 |
3, 50 |
∴ So the LCM of the given numbers is 17 x 3 x 50 = 2550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2550
Therefore, the GCF of Fractions 9705/51,4745/850 is 5/2550
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 51,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,850) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(51,850) x common factors =17 x 1 = 17
LCM(51,850) = ( 51 × 850 ) / 17
LCM(51,850) = 43350 / 17
LCM(51,850) = 2550
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 9705/51, 4745/850?
Answer: GCF of Numerators as per given numbers 9705/51, 4745/850 is
GCF of Numerators i.e. for 9705,4745 is 5
LCM of denominators i.e. for 51,850 is 2550.
Thus, GCF of Fractions is 5/2550.Finally, GCF of Fractions for 9705/51, 4745/850 is 5/2550.