Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 602/648,164/277,984/801
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 602,164,984
Greatest Common Factor of Numerators i.e. GCF of 602,164,984 is 2 .
LCM of Denominators means LCM of 648,277,801 as per the given fractions.
LCM of 648,277,801 is 15975144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 602,164,984
2 | 602, 164, 984 |
301, 82, 492 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 602,164,984 . The biggest common factor number is the GCF number.
So the greatest common factor 602,164,984 is 2.
Lets's calculate LCM of 648,277,801
3 | 648, 277, 801 |
3 | 216, 277, 267 |
72, 277, 89 |
∴ So the LCM of the given numbers is 3 x 3 x 72 x 277 x 89 = 15975144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15975144
Therefore, the GCF of Fractions 602/648,164/277,984/801 is 2/15975144
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 648,277,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,277,801) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(648,277,801) x common factors =1 x 9 = 9
LCM(648,277,801) = ( 648 × 277 × 801 ) / 9
LCM(648,277,801) = 143776296 / 9
LCM(648,277,801) = 15975144
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 602/648, 164/277, 984/801?
Answer: GCF of Numerators as per given numbers 602/648, 164/277, 984/801 is
GCF of Numerators i.e. for 602,164,984 is 2
LCM of denominators i.e. for 648,277,801 is 15975144.
Thus, GCF of Fractions is 2/15975144.Finally, GCF of Fractions for 602/648, 164/277, 984/801 is 2/15975144.