Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/62,578/65,380/738
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 397,578,380
Greatest Common Factor of Numerators i.e. GCF of 397,578,380 is 1 .
LCM of Denominators means LCM of 62,65,738 as per the given fractions.
LCM of 62,65,738 is 1487070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 397,578,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 397,578,380 . The biggest common factor number is the GCF number.
So the greatest common factor 397,578,380 is 1.
Lets's calculate LCM of 62,65,738
2 | 62, 65, 738 |
31, 65, 369 |
∴ So the LCM of the given numbers is 2 x 31 x 65 x 369 = 1487070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1487070
Therefore, the GCF of Fractions 397/62,578/65,380/738 is 1/1487070
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 62,65,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,65,738) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,65,738) x common factors =1 x 2 = 2
LCM(62,65,738) = ( 62 × 65 × 738 ) / 2
LCM(62,65,738) = 2974140 / 2
LCM(62,65,738) = 1487070
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 397/62, 578/65, 380/738?
Answer: GCF of Numerators as per given numbers 397/62, 578/65, 380/738 is
GCF of Numerators i.e. for 397,578,380 is 1
LCM of denominators i.e. for 62,65,738 is 1487070.
Thus, GCF of Fractions is 1/1487070.Finally, GCF of Fractions for 397/62, 578/65, 380/738 is 1/1487070.