Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6618/532,6606/6732
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 6618,6606
Greatest Common Factor of Numerators i.e. GCF of 6618,6606 is 6 .
LCM of Denominators means LCM of 532,6732 as per the given fractions.
LCM of 532,6732 is 895356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6618,6606
2 | 6618, 6606 |
3 | 3309, 3303 |
1103, 1101 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6618
List of positive integer factors of 6618 that divides 6618 without a remainder.
1,2,3,6,1103,2206,3309,6618
Factors of 6606
List of positive integer factors of 6606 that divides 6606 without a remainder.
1,2,3,6,9,18,367,734,1101,2202,3303,6606
Greatest Common Factor
We found the factors 6618,6606 . The biggest common factor number is the GCF number.
So the greatest common factor 6618,6606 is 6.
Lets's calculate LCM of 532,6732
2 | 532, 6732 |
2 | 266, 3366 |
133, 1683 |
∴ So the LCM of the given numbers is 2 x 2 x 133 x 1683 = 895356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/895356
Therefore, the GCF of Fractions 6618/532,6606/6732 is 6/895356
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 532,6732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,6732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(532,6732) x common factors =4 x 1 = 4
LCM(532,6732) = ( 532 × 6732 ) / 4
LCM(532,6732) = 3581424 / 4
LCM(532,6732) = 895356
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 6618/532, 6606/6732?
Answer: GCF of Numerators as per given numbers 6618/532, 6606/6732 is
GCF of Numerators i.e. for 6618,6606 is 6
LCM of denominators i.e. for 532,6732 is 895356.
Thus, GCF of Fractions is 6/895356.Finally, GCF of Fractions for 6618/532, 6606/6732 is 6/895356.