Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8783/385,6733/704
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 8783,6733
Greatest Common Factor of Numerators i.e. GCF of 8783,6733 is 1 .
LCM of Denominators means LCM of 385,704 as per the given fractions.
LCM of 385,704 is 24640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8783,6733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8783
List of positive integer factors of 8783 that divides 8783 without a remainder.
1,8783
Factors of 6733
List of positive integer factors of 6733 that divides 6733 without a remainder.
1,6733
Greatest Common Factor
We found the factors 8783,6733 . The biggest common factor number is the GCF number.
So the greatest common factor 8783,6733 is 1.
Lets's calculate LCM of 385,704
11 | 385, 704 |
35, 64 |
∴ So the LCM of the given numbers is 11 x 35 x 64 = 24640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24640
Therefore, the GCF of Fractions 8783/385,6733/704 is 1/24640
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 385,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,704) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(385,704) x common factors =11 x 1 = 11
LCM(385,704) = ( 385 × 704 ) / 11
LCM(385,704) = 271040 / 11
LCM(385,704) = 24640
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 8783/385, 6733/704?
Answer: GCF of Numerators as per given numbers 8783/385, 6733/704 is
GCF of Numerators i.e. for 8783,6733 is 1
LCM of denominators i.e. for 385,704 is 24640.
Thus, GCF of Fractions is 1/24640.Finally, GCF of Fractions for 8783/385, 6733/704 is 1/24640.