Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/87,47/45,980/155
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 16,47,980
Greatest Common Factor of Numerators i.e. GCF of 16,47,980 is 1 .
LCM of Denominators means LCM of 87,45,155 as per the given fractions.
LCM of 87,45,155 is 40455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,47,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 16,47,980 . The biggest common factor number is the GCF number.
So the greatest common factor 16,47,980 is 1.
Lets's calculate LCM of 87,45,155
3 | 87, 45, 155 |
5 | 29, 15, 155 |
29, 3, 31 |
∴ So the LCM of the given numbers is 3 x 5 x 29 x 3 x 31 = 40455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40455
Therefore, the GCF of Fractions 16/87,47/45,980/155 is 1/40455
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 87,45,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,45,155) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(87,45,155) x common factors =1 x 15 = 15
LCM(87,45,155) = ( 87 × 45 × 155 ) / 15
LCM(87,45,155) = 606825 / 15
LCM(87,45,155) = 40455
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 16/87, 47/45, 980/155?
Answer: GCF of Numerators as per given numbers 16/87, 47/45, 980/155 is
GCF of Numerators i.e. for 16,47,980 is 1
LCM of denominators i.e. for 87,45,155 is 40455.
Thus, GCF of Fractions is 1/40455.Finally, GCF of Fractions for 16/87, 47/45, 980/155 is 1/40455.