Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/73,200/74,528/252
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 183,200,528
Greatest Common Factor of Numerators i.e. GCF of 183,200,528 is 1 .
LCM of Denominators means LCM of 73,74,252 as per the given fractions.
LCM of 73,74,252 is 680652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 183,200,528
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 183,200,528 . The biggest common factor number is the GCF number.
So the greatest common factor 183,200,528 is 1.
Lets's calculate LCM of 73,74,252
2 | 73, 74, 252 |
73, 37, 126 |
∴ So the LCM of the given numbers is 2 x 73 x 37 x 126 = 680652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680652
Therefore, the GCF of Fractions 183/73,200/74,528/252 is 1/680652
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 73,74,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,74,252) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,74,252) x common factors =1 x 2 = 2
LCM(73,74,252) = ( 73 × 74 × 252 ) / 2
LCM(73,74,252) = 1361304 / 2
LCM(73,74,252) = 680652
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 183/73, 200/74, 528/252?
Answer: GCF of Numerators as per given numbers 183/73, 200/74, 528/252 is
GCF of Numerators i.e. for 183,200,528 is 1
LCM of denominators i.e. for 73,74,252 is 680652.
Thus, GCF of Fractions is 1/680652.Finally, GCF of Fractions for 183/73, 200/74, 528/252 is 1/680652.