Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/17,84/24,150/876
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 77,84,150
Greatest Common Factor of Numerators i.e. GCF of 77,84,150 is 1 .
LCM of Denominators means LCM of 17,24,876 as per the given fractions.
LCM of 17,24,876 is 29784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,84,150
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 77,84,150 . The biggest common factor number is the GCF number.
So the greatest common factor 77,84,150 is 1.
Lets's calculate LCM of 17,24,876
2 | 17, 24, 876 |
2 | 17, 12, 438 |
3 | 17, 6, 219 |
17, 2, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 2 x 73 = 29784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29784
Therefore, the GCF of Fractions 77/17,84/24,150/876 is 1/29784
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 17,24,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,24,876) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(17,24,876) x common factors =1 x 12 = 12
LCM(17,24,876) = ( 17 × 24 × 876 ) / 12
LCM(17,24,876) = 357408 / 12
LCM(17,24,876) = 29784
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 77/17, 84/24, 150/876?
Answer: GCF of Numerators as per given numbers 77/17, 84/24, 150/876 is
GCF of Numerators i.e. for 77,84,150 is 1
LCM of denominators i.e. for 17,24,876 is 29784.
Thus, GCF of Fractions is 1/29784.Finally, GCF of Fractions for 77/17, 84/24, 150/876 is 1/29784.