Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/79,243/58,554/484
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 210,243,554
Greatest Common Factor of Numerators i.e. GCF of 210,243,554 is 1 .
LCM of Denominators means LCM of 79,58,484 as per the given fractions.
LCM of 79,58,484 is 1108844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 210,243,554
∴ 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 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors 210,243,554 . The biggest common factor number is the GCF number.
So the greatest common factor 210,243,554 is 1.
Lets's calculate LCM of 79,58,484
2 | 79, 58, 484 |
79, 29, 242 |
∴ So the LCM of the given numbers is 2 x 79 x 29 x 242 = 1108844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1108844
Therefore, the GCF of Fractions 210/79,243/58,554/484 is 1/1108844
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 79,58,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,58,484) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,58,484) x common factors =1 x 2 = 2
LCM(79,58,484) = ( 79 × 58 × 484 ) / 2
LCM(79,58,484) = 2217688 / 2
LCM(79,58,484) = 1108844
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 210/79, 243/58, 554/484?
Answer: GCF of Numerators as per given numbers 210/79, 243/58, 554/484 is
GCF of Numerators i.e. for 210,243,554 is 1
LCM of denominators i.e. for 79,58,484 is 1108844.
Thus, GCF of Fractions is 1/1108844.Finally, GCF of Fractions for 210/79, 243/58, 554/484 is 1/1108844.