Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 472/220,703/286,368/135
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 472,703,368
Greatest Common Factor of Numerators i.e. GCF of 472,703,368 is 1 .
LCM of Denominators means LCM of 220,286,135 as per the given fractions.
LCM of 220,286,135 is 77220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 472,703,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 472,703,368 . The biggest common factor number is the GCF number.
So the greatest common factor 472,703,368 is 1.
Lets's calculate LCM of 220,286,135
2 | 220, 286, 135 |
5 | 110, 143, 135 |
11 | 22, 143, 27 |
2, 13, 27 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 2 x 13 x 27 = 77220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77220
Therefore, the GCF of Fractions 472/220,703/286,368/135 is 1/77220
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 220,286,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,286,135) = 1
common factors(in case of two or more numbers have common factors) = 110
GCF(220,286,135) x common factors =1 x 110 = 110
LCM(220,286,135) = ( 220 × 286 × 135 ) / 110
LCM(220,286,135) = 8494200 / 110
LCM(220,286,135) = 77220
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 472/220, 703/286, 368/135?
Answer: GCF of Numerators as per given numbers 472/220, 703/286, 368/135 is
GCF of Numerators i.e. for 472,703,368 is 1
LCM of denominators i.e. for 220,286,135 is 77220.
Thus, GCF of Fractions is 1/77220.Finally, GCF of Fractions for 472/220, 703/286, 368/135 is 1/77220.