Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 473/14,723/728
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 473,723
Greatest Common Factor of Numerators i.e. GCF of 473,723 is 1 .
LCM of Denominators means LCM of 14,728 as per the given fractions.
LCM of 14,728 is 728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 473,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 473,723 . The biggest common factor number is the GCF number.
So the greatest common factor 473,723 is 1.
Lets's calculate LCM of 14,728
2 | 14, 728 |
7 | 7, 364 |
1, 52 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 52 = 728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/728
Therefore, the GCF of Fractions 473/14,723/728 is 1/728
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 14,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,728) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(14,728) x common factors =14 x 1 = 14
LCM(14,728) = ( 14 × 728 ) / 14
LCM(14,728) = 10192 / 14
LCM(14,728) = 728
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 473/14, 723/728?
Answer: GCF of Numerators as per given numbers 473/14, 723/728 is
GCF of Numerators i.e. for 473,723 is 1
LCM of denominators i.e. for 14,728 is 728.
Thus, GCF of Fractions is 1/728.Finally, GCF of Fractions for 473/14, 723/728 is 1/728.