Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2492/638,6196/8273
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 2492,6196
Greatest Common Factor of Numerators i.e. GCF of 2492,6196 is 4 .
LCM of Denominators means LCM of 638,8273 as per the given fractions.
LCM of 638,8273 is 5278174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2492,6196
2 | 2492, 6196 |
2 | 1246, 3098 |
623, 1549 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2492
List of positive integer factors of 2492 that divides 2492 without a remainder.
1,2,4,7,14,28,89,178,356,623,1246,2492
Factors of 6196
List of positive integer factors of 6196 that divides 6196 without a remainder.
1,2,4,1549,3098,6196
Greatest Common Factor
We found the factors 2492,6196 . The biggest common factor number is the GCF number.
So the greatest common factor 2492,6196 is 4.
Lets's calculate LCM of 638,8273
Given numbers has no common factors except 1. So, there LCM is their product i.e 5278174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5278174
Therefore, the GCF of Fractions 2492/638,6196/8273 is 4/5278174
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 638,8273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,8273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,8273) x common factors =1 x 1 = 1
LCM(638,8273) = ( 638 × 8273 ) / 1
LCM(638,8273) = 5278174 / 1
LCM(638,8273) = 5278174
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 2492/638, 6196/8273?
Answer: GCF of Numerators as per given numbers 2492/638, 6196/8273 is
GCF of Numerators i.e. for 2492,6196 is 4
LCM of denominators i.e. for 638,8273 is 5278174.
Thus, GCF of Fractions is 4/5278174.Finally, GCF of Fractions for 2492/638, 6196/8273 is 4/5278174.