Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/19,871/52,421/932
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 210,871,421
Greatest Common Factor of Numerators i.e. GCF of 210,871,421 is 1 .
LCM of Denominators means LCM of 19,52,932 as per the given fractions.
LCM of 19,52,932 is 230204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 210,871,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Greatest Common Factor
We found the factors 210,871,421 . The biggest common factor number is the GCF number.
So the greatest common factor 210,871,421 is 1.
Lets's calculate LCM of 19,52,932
2 | 19, 52, 932 |
2 | 19, 26, 466 |
19, 13, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 13 x 233 = 230204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230204
Therefore, the GCF of Fractions 210/19,871/52,421/932 is 1/230204
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 19,52,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,52,932) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(19,52,932) x common factors =1 x 4 = 4
LCM(19,52,932) = ( 19 × 52 × 932 ) / 4
LCM(19,52,932) = 920816 / 4
LCM(19,52,932) = 230204
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 210/19, 871/52, 421/932?
Answer: GCF of Numerators as per given numbers 210/19, 871/52, 421/932 is
GCF of Numerators i.e. for 210,871,421 is 1
LCM of denominators i.e. for 19,52,932 is 230204.
Thus, GCF of Fractions is 1/230204.Finally, GCF of Fractions for 210/19, 871/52, 421/932 is 1/230204.