Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/570,8949/8802
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 371,8949
Greatest Common Factor of Numerators i.e. GCF of 371,8949 is 1 .
LCM of Denominators means LCM of 570,8802 as per the given fractions.
LCM of 570,8802 is 836190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 371,8949
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 8949
List of positive integer factors of 8949 that divides 8949 without a remainder.
1,3,19,57,157,471,2983,8949
Greatest Common Factor
We found the factors 371,8949 . The biggest common factor number is the GCF number.
So the greatest common factor 371,8949 is 1.
Lets's calculate LCM of 570,8802
2 | 570, 8802 |
3 | 285, 4401 |
95, 1467 |
∴ So the LCM of the given numbers is 2 x 3 x 95 x 1467 = 836190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/836190
Therefore, the GCF of Fractions 371/570,8949/8802 is 1/836190
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 570,8802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,8802) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(570,8802) x common factors =6 x 1 = 6
LCM(570,8802) = ( 570 × 8802 ) / 6
LCM(570,8802) = 5017140 / 6
LCM(570,8802) = 836190
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 371/570, 8949/8802?
Answer: GCF of Numerators as per given numbers 371/570, 8949/8802 is
GCF of Numerators i.e. for 371,8949 is 1
LCM of denominators i.e. for 570,8802 is 836190.
Thus, GCF of Fractions is 1/836190.Finally, GCF of Fractions for 371/570, 8949/8802 is 1/836190.