Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 174/67,468/4714
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 174,468
Greatest Common Factor of Numerators i.e. GCF of 174,468 is 6 .
LCM of Denominators means LCM of 67,4714 as per the given fractions.
LCM of 67,4714 is 315838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 174,468
2 | 174, 468 |
3 | 87, 234 |
29, 78 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 174,468 . The biggest common factor number is the GCF number.
So the greatest common factor 174,468 is 6.
Lets's calculate LCM of 67,4714
Given numbers has no common factors except 1. So, there LCM is their product i.e 315838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/315838
Therefore, the GCF of Fractions 174/67,468/4714 is 6/315838
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 67,4714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,4714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,4714) x common factors =1 x 1 = 1
LCM(67,4714) = ( 67 × 4714 ) / 1
LCM(67,4714) = 315838 / 1
LCM(67,4714) = 315838
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 174/67, 468/4714?
Answer: GCF of Numerators as per given numbers 174/67, 468/4714 is
GCF of Numerators i.e. for 174,468 is 6
LCM of denominators i.e. for 67,4714 is 315838.
Thus, GCF of Fractions is 6/315838.Finally, GCF of Fractions for 174/67, 468/4714 is 6/315838.