Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 164/78,899/87,475/632
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 164,899,475
Greatest Common Factor of Numerators i.e. GCF of 164,899,475 is 1 .
LCM of Denominators means LCM of 78,87,632 as per the given fractions.
LCM of 78,87,632 is 714792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 164,899,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Greatest Common Factor
We found the factors 164,899,475 . The biggest common factor number is the GCF number.
So the greatest common factor 164,899,475 is 1.
Lets's calculate LCM of 78,87,632
2 | 78, 87, 632 |
3 | 39, 87, 316 |
13, 29, 316 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 29 x 316 = 714792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/714792
Therefore, the GCF of Fractions 164/78,899/87,475/632 is 1/714792
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 78,87,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,87,632) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,87,632) x common factors =1 x 6 = 6
LCM(78,87,632) = ( 78 × 87 × 632 ) / 6
LCM(78,87,632) = 4288752 / 6
LCM(78,87,632) = 714792
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 164/78, 899/87, 475/632?
Answer: GCF of Numerators as per given numbers 164/78, 899/87, 475/632 is
GCF of Numerators i.e. for 164,899,475 is 1
LCM of denominators i.e. for 78,87,632 is 714792.
Thus, GCF of Fractions is 1/714792.Finally, GCF of Fractions for 164/78, 899/87, 475/632 is 1/714792.