Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 181/87,125/46,170/752
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 181,125,170
Greatest Common Factor of Numerators i.e. GCF of 181,125,170 is 1 .
LCM of Denominators means LCM of 87,46,752 as per the given fractions.
LCM of 87,46,752 is 1504752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 181,125,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 181,125,170 . The biggest common factor number is the GCF number.
So the greatest common factor 181,125,170 is 1.
Lets's calculate LCM of 87,46,752
2 | 87, 46, 752 |
87, 23, 376 |
∴ So the LCM of the given numbers is 2 x 87 x 23 x 376 = 1504752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1504752
Therefore, the GCF of Fractions 181/87,125/46,170/752 is 1/1504752
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 87,46,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,46,752) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(87,46,752) x common factors =1 x 2 = 2
LCM(87,46,752) = ( 87 × 46 × 752 ) / 2
LCM(87,46,752) = 3009504 / 2
LCM(87,46,752) = 1504752
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 181/87, 125/46, 170/752?
Answer: GCF of Numerators as per given numbers 181/87, 125/46, 170/752 is
GCF of Numerators i.e. for 181,125,170 is 1
LCM of denominators i.e. for 87,46,752 is 1504752.
Thus, GCF of Fractions is 1/1504752.Finally, GCF of Fractions for 181/87, 125/46, 170/752 is 1/1504752.