Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 633/96,918/37,130/176
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 633,918,130
Greatest Common Factor of Numerators i.e. GCF of 633,918,130 is 1 .
LCM of Denominators means LCM of 96,37,176 as per the given fractions.
LCM of 96,37,176 is 39072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 633,918,130
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 633,918,130 . The biggest common factor number is the GCF number.
So the greatest common factor 633,918,130 is 1.
Lets's calculate LCM of 96,37,176
2 | 96, 37, 176 |
2 | 48, 37, 88 |
2 | 24, 37, 44 |
2 | 12, 37, 22 |
6, 37, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 6 x 37 x 11 = 39072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39072
Therefore, the GCF of Fractions 633/96,918/37,130/176 is 1/39072
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 96,37,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,37,176) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(96,37,176) x common factors =1 x 16 = 16
LCM(96,37,176) = ( 96 × 37 × 176 ) / 16
LCM(96,37,176) = 625152 / 16
LCM(96,37,176) = 39072
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 633/96, 918/37, 130/176?
Answer: GCF of Numerators as per given numbers 633/96, 918/37, 130/176 is
GCF of Numerators i.e. for 633,918,130 is 1
LCM of denominators i.e. for 96,37,176 is 39072.
Thus, GCF of Fractions is 1/39072.Finally, GCF of Fractions for 633/96, 918/37, 130/176 is 1/39072.