Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5703/695,8940/3590
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 5703,8940
Greatest Common Factor of Numerators i.e. GCF of 5703,8940 is 3 .
LCM of Denominators means LCM of 695,3590 as per the given fractions.
LCM of 695,3590 is 499010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5703,8940
3 | 5703, 8940 |
1901, 2980 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5703
List of positive integer factors of 5703 that divides 5703 without a remainder.
1,3,1901,5703
Factors of 8940
List of positive integer factors of 8940 that divides 8940 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Greatest Common Factor
We found the factors 5703,8940 . The biggest common factor number is the GCF number.
So the greatest common factor 5703,8940 is 3.
Lets's calculate LCM of 695,3590
5 | 695, 3590 |
139, 718 |
∴ So the LCM of the given numbers is 5 x 139 x 718 = 499010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/499010
Therefore, the GCF of Fractions 5703/695,8940/3590 is 3/499010
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 695,3590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,3590) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(695,3590) x common factors =5 x 1 = 5
LCM(695,3590) = ( 695 × 3590 ) / 5
LCM(695,3590) = 2495050 / 5
LCM(695,3590) = 499010
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 5703/695, 8940/3590?
Answer: GCF of Numerators as per given numbers 5703/695, 8940/3590 is
GCF of Numerators i.e. for 5703,8940 is 3
LCM of denominators i.e. for 695,3590 is 499010.
Thus, GCF of Fractions is 3/499010.Finally, GCF of Fractions for 5703/695, 8940/3590 is 3/499010.