Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/822,933/258,101/705
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 65,933,101
Greatest Common Factor of Numerators i.e. GCF of 65,933,101 is 1 .
LCM of Denominators means LCM of 822,258,705 as per the given fractions.
LCM of 822,258,705 is 8306310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,933,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 65,933,101 . The biggest common factor number is the GCF number.
So the greatest common factor 65,933,101 is 1.
Lets's calculate LCM of 822,258,705
2 | 822, 258, 705 |
3 | 411, 129, 705 |
137, 43, 235 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 43 x 235 = 8306310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8306310
Therefore, the GCF of Fractions 65/822,933/258,101/705 is 1/8306310
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 822,258,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,258,705) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(822,258,705) x common factors =3 x 6 = 18
LCM(822,258,705) = ( 822 × 258 × 705 ) / 18
LCM(822,258,705) = 149513580 / 18
LCM(822,258,705) = 8306310
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 65/822, 933/258, 101/705?
Answer: GCF of Numerators as per given numbers 65/822, 933/258, 101/705 is
GCF of Numerators i.e. for 65,933,101 is 1
LCM of denominators i.e. for 822,258,705 is 8306310.
Thus, GCF of Fractions is 1/8306310.Finally, GCF of Fractions for 65/822, 933/258, 101/705 is 1/8306310.