Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2401/275,3199/888
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 2401,3199
Greatest Common Factor of Numerators i.e. GCF of 2401,3199 is 7 .
LCM of Denominators means LCM of 275,888 as per the given fractions.
LCM of 275,888 is 244200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2401,3199
7 | 2401, 3199 |
343, 457 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 2401
List of positive integer factors of 2401 that divides 2401 without a remainder.
1,7,49,343,2401
Factors of 3199
List of positive integer factors of 3199 that divides 3199 without a remainder.
1,7,457,3199
Greatest Common Factor
We found the factors 2401,3199 . The biggest common factor number is the GCF number.
So the greatest common factor 2401,3199 is 7.
Lets's calculate LCM of 275,888
Given numbers has no common factors except 1. So, there LCM is their product i.e 244200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/244200
Therefore, the GCF of Fractions 2401/275,3199/888 is 7/244200
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 275,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,888) x common factors =1 x 1 = 1
LCM(275,888) = ( 275 × 888 ) / 1
LCM(275,888) = 244200 / 1
LCM(275,888) = 244200
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 2401/275, 3199/888?
Answer: GCF of Numerators as per given numbers 2401/275, 3199/888 is
GCF of Numerators i.e. for 2401,3199 is 7
LCM of denominators i.e. for 275,888 is 244200.
Thus, GCF of Fractions is 7/244200.Finally, GCF of Fractions for 2401/275, 3199/888 is 7/244200.