Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 999/421,160/563,258/321
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 999,160,258
Greatest Common Factor of Numerators i.e. GCF of 999,160,258 is 1 .
LCM of Denominators means LCM of 421,563,321 as per the given fractions.
LCM of 421,563,321 is 76084383 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 999,160,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 999,160,258 . The biggest common factor number is the GCF number.
So the greatest common factor 999,160,258 is 1.
Lets's calculate LCM of 421,563,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 76084383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76084383
Therefore, the GCF of Fractions 999/421,160/563,258/321 is 1/76084383
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 421,563,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,563,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,563,321) x common factors =1 x 1 = 1
LCM(421,563,321) = ( 421 × 563 × 321 ) / 1
LCM(421,563,321) = 76084383 / 1
LCM(421,563,321) = 76084383
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 999/421, 160/563, 258/321?
Answer: GCF of Numerators as per given numbers 999/421, 160/563, 258/321 is
GCF of Numerators i.e. for 999,160,258 is 1
LCM of denominators i.e. for 421,563,321 is 76084383.
Thus, GCF of Fractions is 1/76084383.Finally, GCF of Fractions for 999/421, 160/563, 258/321 is 1/76084383.