Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/87,56/20,92/494,267/405
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 3,56,92,267
Greatest Common Factor of Numerators i.e. GCF of 3,56,92,267 is 1 .
LCM of Denominators means LCM of 87,20,494,405 as per the given fractions.
LCM of 87,20,494,405 is 11604060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,56,92,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 3,56,92,267 . The biggest common factor number is the GCF number.
So the greatest common factor 3,56,92,267 is 1.
Lets's calculate LCM of 87,20,494,405
2 | 87, 20, 494, 405 |
3 | 87, 10, 247, 405 |
5 | 29, 10, 247, 135 |
29, 2, 247, 27 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 2 x 247 x 27 = 11604060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11604060
Therefore, the GCF of Fractions 3/87,56/20,92/494,267/405 is 1/11604060
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 87,20,494,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,20,494,405) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(87,20,494,405) x common factors =1 x 30 = 30
LCM(87,20,494,405) = ( 87 × 20 × 494 × 405 ) / 30
LCM(87,20,494,405) = 348121800 / 30
LCM(87,20,494,405) = 11604060
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 3/87, 56/20, 92/494, 267/405?
Answer: GCF of Numerators as per given numbers 3/87, 56/20, 92/494, 267/405 is
GCF of Numerators i.e. for 3,56,92,267 is 1
LCM of denominators i.e. for 87,20,494,405 is 11604060.
Thus, GCF of Fractions is 1/11604060.Finally, GCF of Fractions for 3/87, 56/20, 92/494, 267/405 is 1/11604060.