Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/792,711/433,165/428
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 99,711,165
Greatest Common Factor of Numerators i.e. GCF of 99,711,165 is 3 .
LCM of Denominators means LCM of 792,433,428 as per the given fractions.
LCM of 792,433,428 is 36694152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,711,165
3 | 99, 711, 165 |
33, 237, 55 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 99,711,165 . The biggest common factor number is the GCF number.
So the greatest common factor 99,711,165 is 3.
Lets's calculate LCM of 792,433,428
2 | 792, 433, 428 |
2 | 396, 433, 214 |
198, 433, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 198 x 433 x 107 = 36694152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36694152
Therefore, the GCF of Fractions 99/792,711/433,165/428 is 3/36694152
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 792,433,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,433,428) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(792,433,428) x common factors =1 x 4 = 4
LCM(792,433,428) = ( 792 × 433 × 428 ) / 4
LCM(792,433,428) = 146776608 / 4
LCM(792,433,428) = 36694152
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 99/792, 711/433, 165/428?
Answer: GCF of Numerators as per given numbers 99/792, 711/433, 165/428 is
GCF of Numerators i.e. for 99,711,165 is 3
LCM of denominators i.e. for 792,433,428 is 36694152.
Thus, GCF of Fractions is 3/36694152.Finally, GCF of Fractions for 99/792, 711/433, 165/428 is 3/36694152.