Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 450/12,697/429
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 450,697
Greatest Common Factor of Numerators i.e. GCF of 450,697 is 1 .
LCM of Denominators means LCM of 12,429 as per the given fractions.
LCM of 12,429 is 1716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 450,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 450,697 . The biggest common factor number is the GCF number.
So the greatest common factor 450,697 is 1.
Lets's calculate LCM of 12,429
3 | 12, 429 |
4, 143 |
∴ So the LCM of the given numbers is 3 x 4 x 143 = 1716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1716
Therefore, the GCF of Fractions 450/12,697/429 is 1/1716
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 12,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(12,429) x common factors =3 x 1 = 3
LCM(12,429) = ( 12 × 429 ) / 3
LCM(12,429) = 5148 / 3
LCM(12,429) = 1716
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 450/12, 697/429?
Answer: GCF of Numerators as per given numbers 450/12, 697/429 is
GCF of Numerators i.e. for 450,697 is 1
LCM of denominators i.e. for 12,429 is 1716.
Thus, GCF of Fractions is 1/1716.Finally, GCF of Fractions for 450/12, 697/429 is 1/1716.