Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 583/68,106/6683
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 583,106
Greatest Common Factor of Numerators i.e. GCF of 583,106 is 53 .
LCM of Denominators means LCM of 68,6683 as per the given fractions.
LCM of 68,6683 is 454444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 583,106
53 | 583, 106 |
11, 2 |
∴ So the GCF of the given numbers is 53 = 53
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Greatest Common Factor
We found the factors 583,106 . The biggest common factor number is the GCF number.
So the greatest common factor 583,106 is 53.
Lets's calculate LCM of 68,6683
Given numbers has no common factors except 1. So, there LCM is their product i.e 454444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/454444
Therefore, the GCF of Fractions 583/68,106/6683 is 53/454444
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 68,6683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,6683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,6683) x common factors =1 x 1 = 1
LCM(68,6683) = ( 68 × 6683 ) / 1
LCM(68,6683) = 454444 / 1
LCM(68,6683) = 454444
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 583/68, 106/6683?
Answer: GCF of Numerators as per given numbers 583/68, 106/6683 is
GCF of Numerators i.e. for 583,106 is 53
LCM of denominators i.e. for 68,6683 is 454444.
Thus, GCF of Fractions is 53/454444.Finally, GCF of Fractions for 583/68, 106/6683 is 53/454444.