Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 328/97,150/8439
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 328,150
Greatest Common Factor of Numerators i.e. GCF of 328,150 is 2 .
LCM of Denominators means LCM of 97,8439 as per the given fractions.
LCM of 97,8439 is 8439 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 328,150
2 | 328, 150 |
164, 75 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 328,150 . The biggest common factor number is the GCF number.
So the greatest common factor 328,150 is 2.
Lets's calculate LCM of 97,8439
97 | 97, 8439 |
1, 87 |
∴ So the LCM of the given numbers is 97 x 1 x 87 = 8439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8439
Therefore, the GCF of Fractions 328/97,150/8439 is 2/8439
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 97,8439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,8439) = 97
common factors(in case of two or more numbers have common factors) = 1
GCF(97,8439) x common factors =97 x 1 = 97
LCM(97,8439) = ( 97 × 8439 ) / 97
LCM(97,8439) = 818583 / 97
LCM(97,8439) = 8439
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 328/97, 150/8439?
Answer: GCF of Numerators as per given numbers 328/97, 150/8439 is
GCF of Numerators i.e. for 328,150 is 2
LCM of denominators i.e. for 97,8439 is 8439.
Thus, GCF of Fractions is 2/8439.Finally, GCF of Fractions for 328/97, 150/8439 is 2/8439.