Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/44,158/51,304/997
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 250,158,304
Greatest Common Factor of Numerators i.e. GCF of 250,158,304 is 2 .
LCM of Denominators means LCM of 44,51,997 as per the given fractions.
LCM of 44,51,997 is 2237268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 250,158,304
2 | 250, 158, 304 |
125, 79, 152 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 250,158,304 . The biggest common factor number is the GCF number.
So the greatest common factor 250,158,304 is 2.
Lets's calculate LCM of 44,51,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 2237268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2237268
Therefore, the GCF of Fractions 250/44,158/51,304/997 is 2/2237268
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 44,51,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,51,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,51,997) x common factors =1 x 1 = 1
LCM(44,51,997) = ( 44 × 51 × 997 ) / 1
LCM(44,51,997) = 2237268 / 1
LCM(44,51,997) = 2237268
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 250/44, 158/51, 304/997?
Answer: GCF of Numerators as per given numbers 250/44, 158/51, 304/997 is
GCF of Numerators i.e. for 250,158,304 is 2
LCM of denominators i.e. for 44,51,997 is 2237268.
Thus, GCF of Fractions is 2/2237268.Finally, GCF of Fractions for 250/44, 158/51, 304/997 is 2/2237268.