Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/640,406/423
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 58,406
Greatest Common Factor of Numerators i.e. GCF of 58,406 is 58 .
LCM of Denominators means LCM of 640,423 as per the given fractions.
LCM of 640,423 is 270720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,406
2 | 58, 406 |
29 | 29, 203 |
1, 7 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 58,406 . The biggest common factor number is the GCF number.
So the greatest common factor 58,406 is 58.
Lets's calculate LCM of 640,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 270720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/270720
Therefore, the GCF of Fractions 58/640,406/423 is 58/270720
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 640,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,423) x common factors =1 x 1 = 1
LCM(640,423) = ( 640 × 423 ) / 1
LCM(640,423) = 270720 / 1
LCM(640,423) = 270720
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 58/640, 406/423?
Answer: GCF of Numerators as per given numbers 58/640, 406/423 is
GCF of Numerators i.e. for 58,406 is 58
LCM of denominators i.e. for 640,423 is 270720.
Thus, GCF of Fractions is 58/270720.Finally, GCF of Fractions for 58/640, 406/423 is 58/270720.