Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/737,5586/745
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 818,5586
Greatest Common Factor of Numerators i.e. GCF of 818,5586 is 2 .
LCM of Denominators means LCM of 737,745 as per the given fractions.
LCM of 737,745 is 549065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 818,5586
2 | 818, 5586 |
409, 2793 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 5586
List of positive integer factors of 5586 that divides 5586 without a remainder.
1,2,3,6,7,14,19,21,38,42,49,57,98,114,133,147,266,294,399,798,931,1862,2793,5586
Greatest Common Factor
We found the factors 818,5586 . The biggest common factor number is the GCF number.
So the greatest common factor 818,5586 is 2.
Lets's calculate LCM of 737,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 549065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/549065
Therefore, the GCF of Fractions 818/737,5586/745 is 2/549065
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 737,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,745) x common factors =1 x 1 = 1
LCM(737,745) = ( 737 × 745 ) / 1
LCM(737,745) = 549065 / 1
LCM(737,745) = 549065
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 818/737, 5586/745?
Answer: GCF of Numerators as per given numbers 818/737, 5586/745 is
GCF of Numerators i.e. for 818,5586 is 2
LCM of denominators i.e. for 737,745 is 549065.
Thus, GCF of Fractions is 2/549065.Finally, GCF of Fractions for 818/737, 5586/745 is 2/549065.