Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 549/38,142/5927
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 549,142
Greatest Common Factor of Numerators i.e. GCF of 549,142 is 1 .
LCM of Denominators means LCM of 38,5927 as per the given fractions.
LCM of 38,5927 is 225226 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 549,142
∴ 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 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 549,142 . The biggest common factor number is the GCF number.
So the greatest common factor 549,142 is 1.
Lets's calculate LCM of 38,5927
Given numbers has no common factors except 1. So, there LCM is their product i.e 225226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225226
Therefore, the GCF of Fractions 549/38,142/5927 is 1/225226
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 38,5927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,5927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,5927) x common factors =1 x 1 = 1
LCM(38,5927) = ( 38 × 5927 ) / 1
LCM(38,5927) = 225226 / 1
LCM(38,5927) = 225226
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 549/38, 142/5927?
Answer: GCF of Numerators as per given numbers 549/38, 142/5927 is
GCF of Numerators i.e. for 549,142 is 1
LCM of denominators i.e. for 38,5927 is 225226.
Thus, GCF of Fractions is 1/225226.Finally, GCF of Fractions for 549/38, 142/5927 is 1/225226.