Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/13,840/65,644/225
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 455,840,644
Greatest Common Factor of Numerators i.e. GCF of 455,840,644 is 7 .
LCM of Denominators means LCM of 13,65,225 as per the given fractions.
LCM of 13,65,225 is 2925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,840,644
7 | 455, 840, 644 |
65, 120, 92 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 455,840,644 . The biggest common factor number is the GCF number.
So the greatest common factor 455,840,644 is 7.
Lets's calculate LCM of 13,65,225
5 | 13, 65, 225 |
13 | 13, 13, 45 |
1, 1, 45 |
∴ So the LCM of the given numbers is 5 x 13 x 1 x 1 x 45 = 2925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2925
Therefore, the GCF of Fractions 455/13,840/65,644/225 is 7/2925
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 13,65,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,65,225) = 1
common factors(in case of two or more numbers have common factors) = 65
GCF(13,65,225) x common factors =1 x 65 = 65
LCM(13,65,225) = ( 13 × 65 × 225 ) / 65
LCM(13,65,225) = 190125 / 65
LCM(13,65,225) = 2925
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 455/13, 840/65, 644/225?
Answer: GCF of Numerators as per given numbers 455/13, 840/65, 644/225 is
GCF of Numerators i.e. for 455,840,644 is 7
LCM of denominators i.e. for 13,65,225 is 2925.
Thus, GCF of Fractions is 7/2925.Finally, GCF of Fractions for 455/13, 840/65, 644/225 is 7/2925.