Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9895/662,9228/2856
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 9895,9228
Greatest Common Factor of Numerators i.e. GCF of 9895,9228 is 1 .
LCM of Denominators means LCM of 662,2856 as per the given fractions.
LCM of 662,2856 is 945336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9895,9228
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9895
List of positive integer factors of 9895 that divides 9895 without a remainder.
1,5,1979,9895
Factors of 9228
List of positive integer factors of 9228 that divides 9228 without a remainder.
1,2,3,4,6,12,769,1538,2307,3076,4614,9228
Greatest Common Factor
We found the factors 9895,9228 . The biggest common factor number is the GCF number.
So the greatest common factor 9895,9228 is 1.
Lets's calculate LCM of 662,2856
2 | 662, 2856 |
331, 1428 |
∴ So the LCM of the given numbers is 2 x 331 x 1428 = 945336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/945336
Therefore, the GCF of Fractions 9895/662,9228/2856 is 1/945336
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 662,2856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,2856) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,2856) x common factors =2 x 1 = 2
LCM(662,2856) = ( 662 × 2856 ) / 2
LCM(662,2856) = 1890672 / 2
LCM(662,2856) = 945336
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 9895/662, 9228/2856?
Answer: GCF of Numerators as per given numbers 9895/662, 9228/2856 is
GCF of Numerators i.e. for 9895,9228 is 1
LCM of denominators i.e. for 662,2856 is 945336.
Thus, GCF of Fractions is 1/945336.Finally, GCF of Fractions for 9895/662, 9228/2856 is 1/945336.