Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 580/182,680/914,226/690
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 580,680,226
Greatest Common Factor of Numerators i.e. GCF of 580,680,226 is 2 .
LCM of Denominators means LCM of 182,914,690 as per the given fractions.
LCM of 182,914,690 is 28695030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 580,680,226
2 | 580, 680, 226 |
290, 340, 113 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 580,680,226 . The biggest common factor number is the GCF number.
So the greatest common factor 580,680,226 is 2.
Lets's calculate LCM of 182,914,690
2 | 182, 914, 690 |
91, 457, 345 |
∴ So the LCM of the given numbers is 2 x 91 x 457 x 345 = 28695030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28695030
Therefore, the GCF of Fractions 580/182,680/914,226/690 is 2/28695030
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 182,914,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,914,690) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(182,914,690) x common factors =2 x 2 = 4
LCM(182,914,690) = ( 182 × 914 × 690 ) / 4
LCM(182,914,690) = 114780120 / 4
LCM(182,914,690) = 28695030
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 580/182, 680/914, 226/690?
Answer: GCF of Numerators as per given numbers 580/182, 680/914, 226/690 is
GCF of Numerators i.e. for 580,680,226 is 2
LCM of denominators i.e. for 182,914,690 is 28695030.
Thus, GCF of Fractions is 2/28695030.Finally, GCF of Fractions for 580/182, 680/914, 226/690 is 2/28695030.