Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/39,397/91,345/278
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 90,397,345
Greatest Common Factor of Numerators i.e. GCF of 90,397,345 is 1 .
LCM of Denominators means LCM of 39,91,278 as per the given fractions.
LCM of 39,91,278 is 75894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,397,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 90,397,345 . The biggest common factor number is the GCF number.
So the greatest common factor 90,397,345 is 1.
Lets's calculate LCM of 39,91,278
13 | 39, 91, 278 |
3, 7, 278 |
∴ So the LCM of the given numbers is 13 x 3 x 7 x 278 = 75894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75894
Therefore, the GCF of Fractions 90/39,397/91,345/278 is 1/75894
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 39,91,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,91,278) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(39,91,278) x common factors =1 x 13 = 13
LCM(39,91,278) = ( 39 × 91 × 278 ) / 13
LCM(39,91,278) = 986622 / 13
LCM(39,91,278) = 75894
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 90/39, 397/91, 345/278?
Answer: GCF of Numerators as per given numbers 90/39, 397/91, 345/278 is
GCF of Numerators i.e. for 90,397,345 is 1
LCM of denominators i.e. for 39,91,278 is 75894.
Thus, GCF of Fractions is 1/75894.Finally, GCF of Fractions for 90/39, 397/91, 345/278 is 1/75894.