Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/206,670/462
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 425,670
Greatest Common Factor of Numerators i.e. GCF of 425,670 is 5 .
LCM of Denominators means LCM of 206,462 as per the given fractions.
LCM of 206,462 is 47586 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 425,670
5 | 425, 670 |
85, 134 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 425,670 . The biggest common factor number is the GCF number.
So the greatest common factor 425,670 is 5.
Lets's calculate LCM of 206,462
2 | 206, 462 |
103, 231 |
∴ So the LCM of the given numbers is 2 x 103 x 231 = 47586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/47586
Therefore, the GCF of Fractions 425/206,670/462 is 5/47586
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 206,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,462) x common factors =2 x 1 = 2
LCM(206,462) = ( 206 × 462 ) / 2
LCM(206,462) = 95172 / 2
LCM(206,462) = 47586
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 425/206, 670/462?
Answer: GCF of Numerators as per given numbers 425/206, 670/462 is
GCF of Numerators i.e. for 425,670 is 5
LCM of denominators i.e. for 206,462 is 47586.
Thus, GCF of Fractions is 5/47586.Finally, GCF of Fractions for 425/206, 670/462 is 5/47586.