Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 698/12,429/330
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 698,429
Greatest Common Factor of Numerators i.e. GCF of 698,429 is 1 .
LCM of Denominators means LCM of 12,330 as per the given fractions.
LCM of 12,330 is 660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 698,429
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 698,429 . The biggest common factor number is the GCF number.
So the greatest common factor 698,429 is 1.
Lets's calculate LCM of 12,330
2 | 12, 330 |
3 | 6, 165 |
2, 55 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 55 = 660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660
Therefore, the GCF of Fractions 698/12,429/330 is 1/660
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 12,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,330) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(12,330) x common factors =6 x 1 = 6
LCM(12,330) = ( 12 × 330 ) / 6
LCM(12,330) = 3960 / 6
LCM(12,330) = 660
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 698/12, 429/330?
Answer: GCF of Numerators as per given numbers 698/12, 429/330 is
GCF of Numerators i.e. for 698,429 is 1
LCM of denominators i.e. for 12,330 is 660.
Thus, GCF of Fractions is 1/660.Finally, GCF of Fractions for 698/12, 429/330 is 1/660.