Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/37,438/6106
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 830,438
Greatest Common Factor of Numerators i.e. GCF of 830,438 is 2 .
LCM of Denominators means LCM of 37,6106 as per the given fractions.
LCM of 37,6106 is 225922 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 830,438
2 | 830, 438 |
415, 219 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 830,438 . The biggest common factor number is the GCF number.
So the greatest common factor 830,438 is 2.
Lets's calculate LCM of 37,6106
Given numbers has no common factors except 1. So, there LCM is their product i.e 225922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/225922
Therefore, the GCF of Fractions 830/37,438/6106 is 2/225922
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 37,6106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,6106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,6106) x common factors =1 x 1 = 1
LCM(37,6106) = ( 37 × 6106 ) / 1
LCM(37,6106) = 225922 / 1
LCM(37,6106) = 225922
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 830/37, 438/6106?
Answer: GCF of Numerators as per given numbers 830/37, 438/6106 is
GCF of Numerators i.e. for 830,438 is 2
LCM of denominators i.e. for 37,6106 is 225922.
Thus, GCF of Fractions is 2/225922.Finally, GCF of Fractions for 830/37, 438/6106 is 2/225922.