Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6689/793,3820/8307
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 6689,3820
Greatest Common Factor of Numerators i.e. GCF of 6689,3820 is 1 .
LCM of Denominators means LCM of 793,8307 as per the given fractions.
LCM of 793,8307 is 506727 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6689,3820
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6689
List of positive integer factors of 6689 that divides 6689 without a remainder.
1,6689
Factors of 3820
List of positive integer factors of 3820 that divides 3820 without a remainder.
1,2,4,5,10,20,191,382,764,955,1910,3820
Greatest Common Factor
We found the factors 6689,3820 . The biggest common factor number is the GCF number.
So the greatest common factor 6689,3820 is 1.
Lets's calculate LCM of 793,8307
13 | 793, 8307 |
61, 639 |
∴ So the LCM of the given numbers is 13 x 61 x 639 = 506727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/506727
Therefore, the GCF of Fractions 6689/793,3820/8307 is 1/506727
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 793,8307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,8307) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(793,8307) x common factors =13 x 1 = 13
LCM(793,8307) = ( 793 × 8307 ) / 13
LCM(793,8307) = 6587451 / 13
LCM(793,8307) = 506727
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 6689/793, 3820/8307?
Answer: GCF of Numerators as per given numbers 6689/793, 3820/8307 is
GCF of Numerators i.e. for 6689,3820 is 1
LCM of denominators i.e. for 793,8307 is 506727.
Thus, GCF of Fractions is 1/506727.Finally, GCF of Fractions for 6689/793, 3820/8307 is 1/506727.