Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 541/171,9870/121
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 541,9870
Greatest Common Factor of Numerators i.e. GCF of 541,9870 is 1 .
LCM of Denominators means LCM of 171,121 as per the given fractions.
LCM of 171,121 is 20691 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 541,9870
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 9870
List of positive integer factors of 9870 that divides 9870 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Greatest Common Factor
We found the factors 541,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 541,9870 is 1.
Lets's calculate LCM of 171,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 20691
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20691
Therefore, the GCF of Fractions 541/171,9870/121 is 1/20691
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 171,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,121) x common factors =1 x 1 = 1
LCM(171,121) = ( 171 × 121 ) / 1
LCM(171,121) = 20691 / 1
LCM(171,121) = 20691
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 541/171, 9870/121?
Answer: GCF of Numerators as per given numbers 541/171, 9870/121 is
GCF of Numerators i.e. for 541,9870 is 1
LCM of denominators i.e. for 171,121 is 20691.
Thus, GCF of Fractions is 1/20691.Finally, GCF of Fractions for 541/171, 9870/121 is 1/20691.