Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 549/466,2171/911
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 549,2171
Greatest Common Factor of Numerators i.e. GCF of 549,2171 is 1 .
LCM of Denominators means LCM of 466,911 as per the given fractions.
LCM of 466,911 is 424526 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 549,2171
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 2171
List of positive integer factors of 2171 that divides 2171 without a remainder.
1,13,167,2171
Greatest Common Factor
We found the factors 549,2171 . The biggest common factor number is the GCF number.
So the greatest common factor 549,2171 is 1.
Lets's calculate LCM of 466,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 424526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424526
Therefore, the GCF of Fractions 549/466,2171/911 is 1/424526
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 466,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,911) x common factors =1 x 1 = 1
LCM(466,911) = ( 466 × 911 ) / 1
LCM(466,911) = 424526 / 1
LCM(466,911) = 424526
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 549/466, 2171/911?
Answer: GCF of Numerators as per given numbers 549/466, 2171/911 is
GCF of Numerators i.e. for 549,2171 is 1
LCM of denominators i.e. for 466,911 is 424526.
Thus, GCF of Fractions is 1/424526.Finally, GCF of Fractions for 549/466, 2171/911 is 1/424526.