Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/479,680/399
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 98,680
Greatest Common Factor of Numerators i.e. GCF of 98,680 is 2 .
LCM of Denominators means LCM of 479,399 as per the given fractions.
LCM of 479,399 is 191121 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,680
2 | 98, 680 |
49, 340 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 98,680 . The biggest common factor number is the GCF number.
So the greatest common factor 98,680 is 2.
Lets's calculate LCM of 479,399
Given numbers has no common factors except 1. So, there LCM is their product i.e 191121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191121
Therefore, the GCF of Fractions 98/479,680/399 is 2/191121
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 479,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,399) x common factors =1 x 1 = 1
LCM(479,399) = ( 479 × 399 ) / 1
LCM(479,399) = 191121 / 1
LCM(479,399) = 191121
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 98/479, 680/399?
Answer: GCF of Numerators as per given numbers 98/479, 680/399 is
GCF of Numerators i.e. for 98,680 is 2
LCM of denominators i.e. for 479,399 is 191121.
Thus, GCF of Fractions is 2/191121.Finally, GCF of Fractions for 98/479, 680/399 is 2/191121.