Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/717,873/689
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 21,873
Greatest Common Factor of Numerators i.e. GCF of 21,873 is 3 .
LCM of Denominators means LCM of 717,689 as per the given fractions.
LCM of 717,689 is 494013 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,873
3 | 21, 873 |
7, 291 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Greatest Common Factor
We found the factors 21,873 . The biggest common factor number is the GCF number.
So the greatest common factor 21,873 is 3.
Lets's calculate LCM of 717,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 494013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/494013
Therefore, the GCF of Fractions 21/717,873/689 is 3/494013
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 717,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,689) x common factors =1 x 1 = 1
LCM(717,689) = ( 717 × 689 ) / 1
LCM(717,689) = 494013 / 1
LCM(717,689) = 494013
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 21/717, 873/689?
Answer: GCF of Numerators as per given numbers 21/717, 873/689 is
GCF of Numerators i.e. for 21,873 is 3
LCM of denominators i.e. for 717,689 is 494013.
Thus, GCF of Fractions is 3/494013.Finally, GCF of Fractions for 21/717, 873/689 is 3/494013.