Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5789/756,5837/927
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 5789,5837
Greatest Common Factor of Numerators i.e. GCF of 5789,5837 is 1 .
LCM of Denominators means LCM of 756,927 as per the given fractions.
LCM of 756,927 is 77868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5789,5837
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5789
List of positive integer factors of 5789 that divides 5789 without a remainder.
1,7,827,5789
Factors of 5837
List of positive integer factors of 5837 that divides 5837 without a remainder.
1,13,449,5837
Greatest Common Factor
We found the factors 5789,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 5789,5837 is 1.
Lets's calculate LCM of 756,927
3 | 756, 927 |
3 | 252, 309 |
84, 103 |
∴ So the LCM of the given numbers is 3 x 3 x 84 x 103 = 77868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77868
Therefore, the GCF of Fractions 5789/756,5837/927 is 1/77868
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 756,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,927) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(756,927) x common factors =9 x 1 = 9
LCM(756,927) = ( 756 × 927 ) / 9
LCM(756,927) = 700812 / 9
LCM(756,927) = 77868
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 5789/756, 5837/927?
Answer: GCF of Numerators as per given numbers 5789/756, 5837/927 is
GCF of Numerators i.e. for 5789,5837 is 1
LCM of denominators i.e. for 756,927 is 77868.
Thus, GCF of Fractions is 1/77868.Finally, GCF of Fractions for 5789/756, 5837/927 is 1/77868.