Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/59,640/84,610/984
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 80,640,610
Greatest Common Factor of Numerators i.e. GCF of 80,640,610 is 10 .
LCM of Denominators means LCM of 59,84,984 as per the given fractions.
LCM of 59,84,984 is 406392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,640,610
2 | 80, 640, 610 |
5 | 40, 320, 305 |
8, 64, 61 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
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
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 80,640,610 . The biggest common factor number is the GCF number.
So the greatest common factor 80,640,610 is 10.
Lets's calculate LCM of 59,84,984
2 | 59, 84, 984 |
2 | 59, 42, 492 |
3 | 59, 21, 246 |
59, 7, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 59 x 7 x 82 = 406392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/406392
Therefore, the GCF of Fractions 80/59,640/84,610/984 is 10/406392
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 59,84,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,84,984) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(59,84,984) x common factors =1 x 12 = 12
LCM(59,84,984) = ( 59 × 84 × 984 ) / 12
LCM(59,84,984) = 4876704 / 12
LCM(59,84,984) = 406392
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 80/59, 640/84, 610/984?
Answer: GCF of Numerators as per given numbers 80/59, 640/84, 610/984 is
GCF of Numerators i.e. for 80,640,610 is 10
LCM of denominators i.e. for 59,84,984 is 406392.
Thus, GCF of Fractions is 10/406392.Finally, GCF of Fractions for 80/59, 640/84, 610/984 is 10/406392.