Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 170/29,491/87,465/847
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 170,491,465
Greatest Common Factor of Numerators i.e. GCF of 170,491,465 is 1 .
LCM of Denominators means LCM of 29,87,847 as per the given fractions.
LCM of 29,87,847 is 73689 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 170,491,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 170,491,465 . The biggest common factor number is the GCF number.
So the greatest common factor 170,491,465 is 1.
Lets's calculate LCM of 29,87,847
29 | 29, 87, 847 |
1, 3, 847 |
∴ So the LCM of the given numbers is 29 x 1 x 3 x 847 = 73689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73689
Therefore, the GCF of Fractions 170/29,491/87,465/847 is 1/73689
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 29,87,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,87,847) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(29,87,847) x common factors =1 x 29 = 29
LCM(29,87,847) = ( 29 × 87 × 847 ) / 29
LCM(29,87,847) = 2136981 / 29
LCM(29,87,847) = 73689
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 170/29, 491/87, 465/847?
Answer: GCF of Numerators as per given numbers 170/29, 491/87, 465/847 is
GCF of Numerators i.e. for 170,491,465 is 1
LCM of denominators i.e. for 29,87,847 is 73689.
Thus, GCF of Fractions is 1/73689.Finally, GCF of Fractions for 170/29, 491/87, 465/847 is 1/73689.