Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/219,705/123,389/649
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 61,705,389
Greatest Common Factor of Numerators i.e. GCF of 61,705,389 is 1 .
LCM of Denominators means LCM of 219,123,649 as per the given fractions.
LCM of 219,123,649 is 5827371 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,705,389
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Greatest Common Factor
We found the factors 61,705,389 . The biggest common factor number is the GCF number.
So the greatest common factor 61,705,389 is 1.
Lets's calculate LCM of 219,123,649
3 | 219, 123, 649 |
73, 41, 649 |
∴ So the LCM of the given numbers is 3 x 73 x 41 x 649 = 5827371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5827371
Therefore, the GCF of Fractions 61/219,705/123,389/649 is 1/5827371
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 219,123,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,123,649) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(219,123,649) x common factors =1 x 3 = 3
LCM(219,123,649) = ( 219 × 123 × 649 ) / 3
LCM(219,123,649) = 17482113 / 3
LCM(219,123,649) = 5827371
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 61/219, 705/123, 389/649?
Answer: GCF of Numerators as per given numbers 61/219, 705/123, 389/649 is
GCF of Numerators i.e. for 61,705,389 is 1
LCM of denominators i.e. for 219,123,649 is 5827371.
Thus, GCF of Fractions is 1/5827371.Finally, GCF of Fractions for 61/219, 705/123, 389/649 is 1/5827371.