Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 538/416,408/325,844/253
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 538,408,844
Greatest Common Factor of Numerators i.e. GCF of 538,408,844 is 2 .
LCM of Denominators means LCM of 416,325,253 as per the given fractions.
LCM of 416,325,253 is 2631200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 538,408,844
2 | 538, 408, 844 |
269, 204, 422 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 538,408,844 . The biggest common factor number is the GCF number.
So the greatest common factor 538,408,844 is 2.
Lets's calculate LCM of 416,325,253
13 | 416, 325, 253 |
32, 25, 253 |
∴ So the LCM of the given numbers is 13 x 32 x 25 x 253 = 2631200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2631200
Therefore, the GCF of Fractions 538/416,408/325,844/253 is 2/2631200
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 416,325,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,325,253) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(416,325,253) x common factors =1 x 13 = 13
LCM(416,325,253) = ( 416 × 325 × 253 ) / 13
LCM(416,325,253) = 34205600 / 13
LCM(416,325,253) = 2631200
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 538/416, 408/325, 844/253?
Answer: GCF of Numerators as per given numbers 538/416, 408/325, 844/253 is
GCF of Numerators i.e. for 538,408,844 is 2
LCM of denominators i.e. for 416,325,253 is 2631200.
Thus, GCF of Fractions is 2/2631200.Finally, GCF of Fractions for 538/416, 408/325, 844/253 is 2/2631200.