Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4169/288,5541/316
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 4169,5541
Greatest Common Factor of Numerators i.e. GCF of 4169,5541 is 1 .
LCM of Denominators means LCM of 288,316 as per the given fractions.
LCM of 288,316 is 22752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4169,5541
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4169
List of positive integer factors of 4169 that divides 4169 without a remainder.
1,11,379,4169
Factors of 5541
List of positive integer factors of 5541 that divides 5541 without a remainder.
1,3,1847,5541
Greatest Common Factor
We found the factors 4169,5541 . The biggest common factor number is the GCF number.
So the greatest common factor 4169,5541 is 1.
Lets's calculate LCM of 288,316
2 | 288, 316 |
2 | 144, 158 |
72, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 72 x 79 = 22752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22752
Therefore, the GCF of Fractions 4169/288,5541/316 is 1/22752
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 288,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,316) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(288,316) x common factors =4 x 1 = 4
LCM(288,316) = ( 288 × 316 ) / 4
LCM(288,316) = 91008 / 4
LCM(288,316) = 22752
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 4169/288, 5541/316?
Answer: GCF of Numerators as per given numbers 4169/288, 5541/316 is
GCF of Numerators i.e. for 4169,5541 is 1
LCM of denominators i.e. for 288,316 is 22752.
Thus, GCF of Fractions is 1/22752.Finally, GCF of Fractions for 4169/288, 5541/316 is 1/22752.