Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4282/660,9087/6213
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 4282,9087
Greatest Common Factor of Numerators i.e. GCF of 4282,9087 is 1 .
LCM of Denominators means LCM of 660,6213 as per the given fractions.
LCM of 660,6213 is 1366860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4282,9087
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4282
List of positive integer factors of 4282 that divides 4282 without a remainder.
1,2,2141,4282
Factors of 9087
List of positive integer factors of 9087 that divides 9087 without a remainder.
1,3,13,39,233,699,3029,9087
Greatest Common Factor
We found the factors 4282,9087 . The biggest common factor number is the GCF number.
So the greatest common factor 4282,9087 is 1.
Lets's calculate LCM of 660,6213
3 | 660, 6213 |
220, 2071 |
∴ So the LCM of the given numbers is 3 x 220 x 2071 = 1366860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1366860
Therefore, the GCF of Fractions 4282/660,9087/6213 is 1/1366860
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 660,6213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,6213) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(660,6213) x common factors =3 x 1 = 3
LCM(660,6213) = ( 660 × 6213 ) / 3
LCM(660,6213) = 4100580 / 3
LCM(660,6213) = 1366860
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 4282/660, 9087/6213?
Answer: GCF of Numerators as per given numbers 4282/660, 9087/6213 is
GCF of Numerators i.e. for 4282,9087 is 1
LCM of denominators i.e. for 660,6213 is 1366860.
Thus, GCF of Fractions is 1/1366860.Finally, GCF of Fractions for 4282/660, 9087/6213 is 1/1366860.