Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/54,54/67,40/128,635/936
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 5,54,40,635
Greatest Common Factor of Numerators i.e. GCF of 5,54,40,635 is 1 .
LCM of Denominators means LCM of 54,67,128,936 as per the given fractions.
LCM of 54,67,128,936 is 3010176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,54,40,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 5,54,40,635 . The biggest common factor number is the GCF number.
So the greatest common factor 5,54,40,635 is 1.
Lets's calculate LCM of 54,67,128,936
2 | 54, 67, 128, 936 |
2 | 27, 67, 64, 468 |
2 | 27, 67, 32, 234 |
3 | 27, 67, 16, 117 |
3 | 9, 67, 16, 39 |
3, 67, 16, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 67 x 16 x 13 = 3010176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3010176
Therefore, the GCF of Fractions 5/54,54/67,40/128,635/936 is 1/3010176
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 54,67,128,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,67,128,936) = 1
common factors(in case of two or more numbers have common factors) = 144
GCF(54,67,128,936) x common factors =1 x 144 = 144
LCM(54,67,128,936) = ( 54 × 67 × 128 × 936 ) / 144
LCM(54,67,128,936) = 433465344 / 144
LCM(54,67,128,936) = 3010176
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 5/54, 54/67, 40/128, 635/936?
Answer: GCF of Numerators as per given numbers 5/54, 54/67, 40/128, 635/936 is
GCF of Numerators i.e. for 5,54,40,635 is 1
LCM of denominators i.e. for 54,67,128,936 is 3010176.
Thus, GCF of Fractions is 1/3010176.Finally, GCF of Fractions for 5/54, 54/67, 40/128, 635/936 is 1/3010176.