Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/36,782/29,330/670
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 190,782,330
Greatest Common Factor of Numerators i.e. GCF of 190,782,330 is 2 .
LCM of Denominators means LCM of 36,29,670 as per the given fractions.
LCM of 36,29,670 is 349740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 190,782,330
2 | 190, 782, 330 |
95, 391, 165 |
∴ 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 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 190,782,330 . The biggest common factor number is the GCF number.
So the greatest common factor 190,782,330 is 2.
Lets's calculate LCM of 36,29,670
2 | 36, 29, 670 |
18, 29, 335 |
∴ So the LCM of the given numbers is 2 x 18 x 29 x 335 = 349740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/349740
Therefore, the GCF of Fractions 190/36,782/29,330/670 is 2/349740
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 36,29,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,29,670) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(36,29,670) x common factors =1 x 2 = 2
LCM(36,29,670) = ( 36 × 29 × 670 ) / 2
LCM(36,29,670) = 699480 / 2
LCM(36,29,670) = 349740
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 190/36, 782/29, 330/670?
Answer: GCF of Numerators as per given numbers 190/36, 782/29, 330/670 is
GCF of Numerators i.e. for 190,782,330 is 2
LCM of denominators i.e. for 36,29,670 is 349740.
Thus, GCF of Fractions is 2/349740.Finally, GCF of Fractions for 190/36, 782/29, 330/670 is 2/349740.