Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3531/79,7299/669
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 3531,7299
Greatest Common Factor of Numerators i.e. GCF of 3531,7299 is 3 .
LCM of Denominators means LCM of 79,669 as per the given fractions.
LCM of 79,669 is 52851 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3531,7299
3 | 3531, 7299 |
1177, 2433 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3531
List of positive integer factors of 3531 that divides 3531 without a remainder.
1,3,11,33,107,321,1177,3531
Factors of 7299
List of positive integer factors of 7299 that divides 7299 without a remainder.
1,3,9,811,2433,7299
Greatest Common Factor
We found the factors 3531,7299 . The biggest common factor number is the GCF number.
So the greatest common factor 3531,7299 is 3.
Lets's calculate LCM of 79,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 52851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52851
Therefore, the GCF of Fractions 3531/79,7299/669 is 3/52851
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 79,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,669) x common factors =1 x 1 = 1
LCM(79,669) = ( 79 × 669 ) / 1
LCM(79,669) = 52851 / 1
LCM(79,669) = 52851
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 3531/79, 7299/669?
Answer: GCF of Numerators as per given numbers 3531/79, 7299/669 is
GCF of Numerators i.e. for 3531,7299 is 3
LCM of denominators i.e. for 79,669 is 52851.
Thus, GCF of Fractions is 3/52851.Finally, GCF of Fractions for 3531/79, 7299/669 is 3/52851.