Use our free GCF of Fractions Calculator tool to compute the GCF of 15/646, 210/633, 375/698 i.e 15/142712382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/646, 210/633, 375/698.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/646,210/633,375/698
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 15/646,210/633,375/698, numerators are 15,210,375
Denominators are 646,633,698
The GCF of 15,210,375 is 15 .
LCM of 646,633,698 is 142712382.
The greatest common factor of 15/646,210/633,375/698 = [GCF of 15,210,375]/[LCM of 646,633,698]= 15/142712382
Therefore, the GCF of 15/646,210/633,375/698 is 15/142712382.
To find the highest common factor of 15,210,375, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The HCF of 15,210,375 is 15.
Lets's calculate GCF of 15,210,375
3 | 15, 210, 375 |
5 | 5, 70, 125 |
1, 14, 25 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 15,210,375 . The biggest common factor number is the GCF number.
So the greatest common factor 15,210,375 is 15.
Lets's calculate LCM of 646,633,698
2 | 646, 633, 698 |
323, 633, 349 |
∴ So the LCM of the given numbers is 2 x 323 x 633 x 349 = 142712382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/142712382
Therefore, the GCF of Fractions 15/646,210/633,375/698 is 15/142712382
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 646,633,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,633,698) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(646,633,698) x common factors =1 x 2 = 2
LCM(646,633,698) = ( 646 × 633 × 698 ) / 2
LCM(646,633,698) = 285424764 / 2
LCM(646,633,698) = 142712382
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,210,375?
The HCF of 15,210,375 is 15
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 15/646, 210/633, 375/698?
Answer: GCF of Numerators as per given numbers 15/646, 210/633, 375/698 is
GCF of Numerators i.e. for 15,210,375 is 15
LCM of denominators i.e. for 646,633,698 is 142712382.
Thus, GCF of Fractions is 15/142712382.Finally, GCF of Fractions for 15/646, 210/633, 375/698 is 15/142712382.