Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 360/66,559/87,808/552
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 360,559,808
Greatest Common Factor of Numerators i.e. GCF of 360,559,808 is 1 .
LCM of Denominators means LCM of 66,87,552 as per the given fractions.
LCM of 66,87,552 is 176088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 360,559,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 360,559,808 . The biggest common factor number is the GCF number.
So the greatest common factor 360,559,808 is 1.
Lets's calculate LCM of 66,87,552
2 | 66, 87, 552 |
3 | 33, 87, 276 |
11, 29, 92 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 29 x 92 = 176088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176088
Therefore, the GCF of Fractions 360/66,559/87,808/552 is 1/176088
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 66,87,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,87,552) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(66,87,552) x common factors =3 x 6 = 18
LCM(66,87,552) = ( 66 × 87 × 552 ) / 18
LCM(66,87,552) = 3169584 / 18
LCM(66,87,552) = 176088
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 360/66, 559/87, 808/552?
Answer: GCF of Numerators as per given numbers 360/66, 559/87, 808/552 is
GCF of Numerators i.e. for 360,559,808 is 1
LCM of denominators i.e. for 66,87,552 is 176088.
Thus, GCF of Fractions is 1/176088.Finally, GCF of Fractions for 360/66, 559/87, 808/552 is 1/176088.