Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 199/668,673/680,211/668
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 199,673,211
Greatest Common Factor of Numerators i.e. GCF of 199,673,211 is 1 .
LCM of Denominators means LCM of 668,680,668 as per the given fractions.
LCM of 668,680,668 is 113560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 199,673,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Greatest Common Factor
We found the factors 199,673,211 . The biggest common factor number is the GCF number.
So the greatest common factor 199,673,211 is 1.
Lets's calculate LCM of 668,680,668
2 | 668, 680, 668 |
2 | 334, 340, 334 |
167 | 167, 170, 167 |
1, 170, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 1 x 170 x 1 = 113560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113560
Therefore, the GCF of Fractions 199/668,673/680,211/668 is 1/113560
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 668,680,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,680,668) = 4
common factors(in case of two or more numbers have common factors) = 668
GCF(668,680,668) x common factors =4 x 668 = 2672
LCM(668,680,668) = ( 668 × 680 × 668 ) / 2672
LCM(668,680,668) = 303432320 / 2672
LCM(668,680,668) = 113560
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 199/668, 673/680, 211/668?
Answer: GCF of Numerators as per given numbers 199/668, 673/680, 211/668 is
GCF of Numerators i.e. for 199,673,211 is 1
LCM of denominators i.e. for 668,680,668 is 113560.
Thus, GCF of Fractions is 1/113560.Finally, GCF of Fractions for 199/668, 673/680, 211/668 is 1/113560.