Use our free GCF of Fractions Calculator tool to compute the GCF of 402/47, 150/8584 i.e 6/403448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 402/47, 150/8584.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 402/47,150/8584
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 402/47,150/8584, numerators are 402,150
Denominators are 47,8584
The GCF of 402,150 is 6 .
LCM of 47,8584 is 403448.
The greatest common factor of 402/47,150/8584 = [GCF of 402,150]/[LCM of 47,8584]= 6/403448
Therefore, the GCF of 402/47,150/8584 is 6/403448.
To find the highest common factor of 402,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 402,150 is 6.
Lets's calculate GCF of 402,150
2 | 402, 150 |
3 | 201, 75 |
67, 25 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 402,150 . The biggest common factor number is the GCF number.
So the greatest common factor 402,150 is 6.
Lets's calculate LCM of 47,8584
Given numbers has no common factors except 1. So, there LCM is their product i.e 403448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/403448
Therefore, the GCF of Fractions 402/47,150/8584 is 6/403448
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 47,8584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,8584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,8584) x common factors =1 x 1 = 1
LCM(47,8584) = ( 47 × 8584 ) / 1
LCM(47,8584) = 403448 / 1
LCM(47,8584) = 403448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 402,150?
The HCF of 402,150 is 6
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 402/47, 150/8584?
Answer: GCF of Numerators as per given numbers 402/47, 150/8584 is
GCF of Numerators i.e. for 402,150 is 6
LCM of denominators i.e. for 47,8584 is 403448.
Thus, GCF of Fractions is 6/403448.Finally, GCF of Fractions for 402/47, 150/8584 is 6/403448.