Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/580,345/613,397/662
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 740,345,397
Greatest Common Factor of Numerators i.e. GCF of 740,345,397 is 1 .
LCM of Denominators means LCM of 580,613,662 as per the given fractions.
LCM of 580,613,662 is 117683740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 740,345,397
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Greatest Common Factor
We found the factors 740,345,397 . The biggest common factor number is the GCF number.
So the greatest common factor 740,345,397 is 1.
Lets's calculate LCM of 580,613,662
2 | 580, 613, 662 |
290, 613, 331 |
∴ So the LCM of the given numbers is 2 x 290 x 613 x 331 = 117683740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117683740
Therefore, the GCF of Fractions 740/580,345/613,397/662 is 1/117683740
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 580,613,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,613,662) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(580,613,662) x common factors =1 x 2 = 2
LCM(580,613,662) = ( 580 × 613 × 662 ) / 2
LCM(580,613,662) = 235367480 / 2
LCM(580,613,662) = 117683740
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 740/580, 345/613, 397/662?
Answer: GCF of Numerators as per given numbers 740/580, 345/613, 397/662 is
GCF of Numerators i.e. for 740,345,397 is 1
LCM of denominators i.e. for 580,613,662 is 117683740.
Thus, GCF of Fractions is 1/117683740.Finally, GCF of Fractions for 740/580, 345/613, 397/662 is 1/117683740.