Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9669/22,3171/610
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 9669,3171
Greatest Common Factor of Numerators i.e. GCF of 9669,3171 is 3 .
LCM of Denominators means LCM of 22,610 as per the given fractions.
LCM of 22,610 is 6710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9669,3171
3 | 9669, 3171 |
3223, 1057 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9669
List of positive integer factors of 9669 that divides 9669 without a remainder.
1,3,11,33,293,879,3223,9669
Factors of 3171
List of positive integer factors of 3171 that divides 3171 without a remainder.
1,3,7,21,151,453,1057,3171
Greatest Common Factor
We found the factors 9669,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 9669,3171 is 3.
Lets's calculate LCM of 22,610
2 | 22, 610 |
11, 305 |
∴ So the LCM of the given numbers is 2 x 11 x 305 = 6710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6710
Therefore, the GCF of Fractions 9669/22,3171/610 is 3/6710
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 22,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,610) x common factors =2 x 1 = 2
LCM(22,610) = ( 22 × 610 ) / 2
LCM(22,610) = 13420 / 2
LCM(22,610) = 6710
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 9669/22, 3171/610?
Answer: GCF of Numerators as per given numbers 9669/22, 3171/610 is
GCF of Numerators i.e. for 9669,3171 is 3
LCM of denominators i.e. for 22,610 is 6710.
Thus, GCF of Fractions is 3/6710.Finally, GCF of Fractions for 9669/22, 3171/610 is 3/6710.