Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 606/60,729/63,284/245
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 606,729,284
Greatest Common Factor of Numerators i.e. GCF of 606,729,284 is 1 .
LCM of Denominators means LCM of 60,63,245 as per the given fractions.
LCM of 60,63,245 is 8820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 606,729,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 606,729,284 . The biggest common factor number is the GCF number.
So the greatest common factor 606,729,284 is 1.
Lets's calculate LCM of 60,63,245
3 | 60, 63, 245 |
5 | 20, 21, 245 |
7 | 4, 21, 49 |
4, 3, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 4 x 3 x 7 = 8820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8820
Therefore, the GCF of Fractions 606/60,729/63,284/245 is 1/8820
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 60,63,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,63,245) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(60,63,245) x common factors =1 x 105 = 105
LCM(60,63,245) = ( 60 × 63 × 245 ) / 105
LCM(60,63,245) = 926100 / 105
LCM(60,63,245) = 8820
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 606/60, 729/63, 284/245?
Answer: GCF of Numerators as per given numbers 606/60, 729/63, 284/245 is
GCF of Numerators i.e. for 606,729,284 is 1
LCM of denominators i.e. for 60,63,245 is 8820.
Thus, GCF of Fractions is 1/8820.Finally, GCF of Fractions for 606/60, 729/63, 284/245 is 1/8820.