Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 583/68,626/40,274/673
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 583,626,274
Greatest Common Factor of Numerators i.e. GCF of 583,626,274 is 1 .
LCM of Denominators means LCM of 68,40,673 as per the given fractions.
LCM of 68,40,673 is 457640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 583,626,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors 583,626,274 . The biggest common factor number is the GCF number.
So the greatest common factor 583,626,274 is 1.
Lets's calculate LCM of 68,40,673
2 | 68, 40, 673 |
2 | 34, 20, 673 |
17, 10, 673 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 10 x 673 = 457640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457640
Therefore, the GCF of Fractions 583/68,626/40,274/673 is 1/457640
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 68,40,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,40,673) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,40,673) x common factors =1 x 4 = 4
LCM(68,40,673) = ( 68 × 40 × 673 ) / 4
LCM(68,40,673) = 1830560 / 4
LCM(68,40,673) = 457640
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, 626/40, 274/673?
Answer: GCF of Numerators as per given numbers 583/68, 626/40, 274/673 is
GCF of Numerators i.e. for 583,626,274 is 1
LCM of denominators i.e. for 68,40,673 is 457640.
Thus, GCF of Fractions is 1/457640.Finally, GCF of Fractions for 583/68, 626/40, 274/673 is 1/457640.