Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/447,222/321
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 190,222
Greatest Common Factor of Numerators i.e. GCF of 190,222 is 2 .
LCM of Denominators means LCM of 447,321 as per the given fractions.
LCM of 447,321 is 47829 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 190,222
2 | 190, 222 |
95, 111 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 190,222 . The biggest common factor number is the GCF number.
So the greatest common factor 190,222 is 2.
Lets's calculate LCM of 447,321
3 | 447, 321 |
149, 107 |
∴ So the LCM of the given numbers is 3 x 149 x 107 = 47829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47829
Therefore, the GCF of Fractions 190/447,222/321 is 2/47829
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 447,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,321) x common factors =3 x 1 = 3
LCM(447,321) = ( 447 × 321 ) / 3
LCM(447,321) = 143487 / 3
LCM(447,321) = 47829
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 190/447, 222/321?
Answer: GCF of Numerators as per given numbers 190/447, 222/321 is
GCF of Numerators i.e. for 190,222 is 2
LCM of denominators i.e. for 447,321 is 47829.
Thus, GCF of Fractions is 2/47829.Finally, GCF of Fractions for 190/447, 222/321 is 2/47829.