Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/83,812/5141
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 176,812
Greatest Common Factor of Numerators i.e. GCF of 176,812 is 4 .
LCM of Denominators means LCM of 83,5141 as per the given fractions.
LCM of 83,5141 is 426703 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 176,812
2 | 176, 812 |
2 | 88, 406 |
44, 203 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 176,812 . The biggest common factor number is the GCF number.
So the greatest common factor 176,812 is 4.
Lets's calculate LCM of 83,5141
Given numbers has no common factors except 1. So, there LCM is their product i.e 426703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/426703
Therefore, the GCF of Fractions 176/83,812/5141 is 4/426703
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 83,5141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,5141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,5141) x common factors =1 x 1 = 1
LCM(83,5141) = ( 83 × 5141 ) / 1
LCM(83,5141) = 426703 / 1
LCM(83,5141) = 426703
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 176/83, 812/5141?
Answer: GCF of Numerators as per given numbers 176/83, 812/5141 is
GCF of Numerators i.e. for 176,812 is 4
LCM of denominators i.e. for 83,5141 is 426703.
Thus, GCF of Fractions is 4/426703.Finally, GCF of Fractions for 176/83, 812/5141 is 4/426703.