Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/30,74/11,73/44,90/867
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 51,74,73,90
Greatest Common Factor of Numerators i.e. GCF of 51,74,73,90 is 1 .
LCM of Denominators means LCM of 30,11,44,867 as per the given fractions.
LCM of 30,11,44,867 is 190740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,74,73,90
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Greatest Common Factor
We found the factors 51,74,73,90 . The biggest common factor number is the GCF number.
So the greatest common factor 51,74,73,90 is 1.
Lets's calculate LCM of 30,11,44,867
2 | 30, 11, 44, 867 |
3 | 15, 11, 22, 867 |
11 | 5, 11, 22, 289 |
5, 1, 2, 289 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 1 x 2 x 289 = 190740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190740
Therefore, the GCF of Fractions 51/30,74/11,73/44,90/867 is 1/190740
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 30,11,44,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,11,44,867) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(30,11,44,867) x common factors =1 x 66 = 66
LCM(30,11,44,867) = ( 30 × 11 × 44 × 867 ) / 66
LCM(30,11,44,867) = 12588840 / 66
LCM(30,11,44,867) = 190740
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 51/30, 74/11, 73/44, 90/867?
Answer: GCF of Numerators as per given numbers 51/30, 74/11, 73/44, 90/867 is
GCF of Numerators i.e. for 51,74,73,90 is 1
LCM of denominators i.e. for 30,11,44,867 is 190740.
Thus, GCF of Fractions is 1/190740.Finally, GCF of Fractions for 51/30, 74/11, 73/44, 90/867 is 1/190740.