Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 321/681,8568/149
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 321,8568
Greatest Common Factor of Numerators i.e. GCF of 321,8568 is 3 .
LCM of Denominators means LCM of 681,149 as per the given fractions.
LCM of 681,149 is 101469 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 321,8568
3 | 321, 8568 |
107, 2856 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 8568
List of positive integer factors of 8568 that divides 8568 without a remainder.
1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568
Greatest Common Factor
We found the factors 321,8568 . The biggest common factor number is the GCF number.
So the greatest common factor 321,8568 is 3.
Lets's calculate LCM of 681,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 101469
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/101469
Therefore, the GCF of Fractions 321/681,8568/149 is 3/101469
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 681,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,149) x common factors =1 x 1 = 1
LCM(681,149) = ( 681 × 149 ) / 1
LCM(681,149) = 101469 / 1
LCM(681,149) = 101469
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 321/681, 8568/149?
Answer: GCF of Numerators as per given numbers 321/681, 8568/149 is
GCF of Numerators i.e. for 321,8568 is 3
LCM of denominators i.e. for 681,149 is 101469.
Thus, GCF of Fractions is 3/101469.Finally, GCF of Fractions for 321/681, 8568/149 is 3/101469.