Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/69,55/46,87/87,69/851
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 15,55,87,69
Greatest Common Factor of Numerators i.e. GCF of 15,55,87,69 is 1 .
LCM of Denominators means LCM of 69,46,87,851 as per the given fractions.
LCM of 69,46,87,851 is 148074 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,55,87,69
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Greatest Common Factor
We found the factors 15,55,87,69 . The biggest common factor number is the GCF number.
So the greatest common factor 15,55,87,69 is 1.
Lets's calculate LCM of 69,46,87,851
3 | 69, 46, 87, 851 |
23 | 23, 46, 29, 851 |
1, 2, 29, 37 |
∴ So the LCM of the given numbers is 3 x 23 x 1 x 2 x 29 x 37 = 148074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148074
Therefore, the GCF of Fractions 15/69,55/46,87/87,69/851 is 1/148074
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 69,46,87,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,46,87,851) = 1
common factors(in case of two or more numbers have common factors) = 1587
GCF(69,46,87,851) x common factors =1 x 1587 = 1587
LCM(69,46,87,851) = ( 69 × 46 × 87 × 851 ) / 1587
LCM(69,46,87,851) = 234993438 / 1587
LCM(69,46,87,851) = 148074
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 15/69, 55/46, 87/87, 69/851?
Answer: GCF of Numerators as per given numbers 15/69, 55/46, 87/87, 69/851 is
GCF of Numerators i.e. for 15,55,87,69 is 1
LCM of denominators i.e. for 69,46,87,851 is 148074.
Thus, GCF of Fractions is 1/148074.Finally, GCF of Fractions for 15/69, 55/46, 87/87, 69/851 is 1/148074.