Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1862/818,6651/8224
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 1862,6651
Greatest Common Factor of Numerators i.e. GCF of 1862,6651 is 1 .
LCM of Denominators means LCM of 818,8224 as per the given fractions.
LCM of 818,8224 is 3363616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1862,6651
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1862
List of positive integer factors of 1862 that divides 1862 without a remainder.
1,2,7,14,19,38,49,98,133,266,931,1862
Factors of 6651
List of positive integer factors of 6651 that divides 6651 without a remainder.
1,3,9,739,2217,6651
Greatest Common Factor
We found the factors 1862,6651 . The biggest common factor number is the GCF number.
So the greatest common factor 1862,6651 is 1.
Lets's calculate LCM of 818,8224
2 | 818, 8224 |
409, 4112 |
∴ So the LCM of the given numbers is 2 x 409 x 4112 = 3363616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3363616
Therefore, the GCF of Fractions 1862/818,6651/8224 is 1/3363616
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 818,8224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,8224) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,8224) x common factors =2 x 1 = 2
LCM(818,8224) = ( 818 × 8224 ) / 2
LCM(818,8224) = 6727232 / 2
LCM(818,8224) = 3363616
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 1862/818, 6651/8224?
Answer: GCF of Numerators as per given numbers 1862/818, 6651/8224 is
GCF of Numerators i.e. for 1862,6651 is 1
LCM of denominators i.e. for 818,8224 is 3363616.
Thus, GCF of Fractions is 1/3363616.Finally, GCF of Fractions for 1862/818, 6651/8224 is 1/3363616.