Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/3446,306/6493
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 567,306
Greatest Common Factor of Numerators i.e. GCF of 567,306 is 9 .
LCM of Denominators means LCM of 3446,6493 as per the given fractions.
LCM of 3446,6493 is 22374878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 567,306
3 | 567, 306 |
3 | 189, 102 |
63, 34 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 567,306 . The biggest common factor number is the GCF number.
So the greatest common factor 567,306 is 9.
Lets's calculate LCM of 3446,6493
Given numbers has no common factors except 1. So, there LCM is their product i.e 22374878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/22374878
Therefore, the GCF of Fractions 567/3446,306/6493 is 9/22374878
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 3446,6493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3446,6493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3446,6493) x common factors =1 x 1 = 1
LCM(3446,6493) = ( 3446 × 6493 ) / 1
LCM(3446,6493) = 22374878 / 1
LCM(3446,6493) = 22374878
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 567/3446, 306/6493?
Answer: GCF of Numerators as per given numbers 567/3446, 306/6493 is
GCF of Numerators i.e. for 567,306 is 9
LCM of denominators i.e. for 3446,6493 is 22374878.
Thus, GCF of Fractions is 9/22374878.Finally, GCF of Fractions for 567/3446, 306/6493 is 9/22374878.