Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 523/95,362/90,640/497
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 523,362,640
Greatest Common Factor of Numerators i.e. GCF of 523,362,640 is 1 .
LCM of Denominators means LCM of 95,90,497 as per the given fractions.
LCM of 95,90,497 is 849870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 523,362,640
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 523,362,640 . The biggest common factor number is the GCF number.
So the greatest common factor 523,362,640 is 1.
Lets's calculate LCM of 95,90,497
5 | 95, 90, 497 |
19, 18, 497 |
∴ So the LCM of the given numbers is 5 x 19 x 18 x 497 = 849870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/849870
Therefore, the GCF of Fractions 523/95,362/90,640/497 is 1/849870
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 95,90,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,90,497) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(95,90,497) x common factors =1 x 5 = 5
LCM(95,90,497) = ( 95 × 90 × 497 ) / 5
LCM(95,90,497) = 4249350 / 5
LCM(95,90,497) = 849870
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 523/95, 362/90, 640/497?
Answer: GCF of Numerators as per given numbers 523/95, 362/90, 640/497 is
GCF of Numerators i.e. for 523,362,640 is 1
LCM of denominators i.e. for 95,90,497 is 849870.
Thus, GCF of Fractions is 1/849870.Finally, GCF of Fractions for 523/95, 362/90, 640/497 is 1/849870.