Use our free GCF of Fractions Calculator tool to compute the GCF of 746/975, 300/551 i.e 2/537225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 746/975, 300/551.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 746/975,300/551
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 746/975,300/551, numerators are 746,300
Denominators are 975,551
The GCF of 746,300 is 2 .
LCM of 975,551 is 537225.
The greatest common factor of 746/975,300/551 = [GCF of 746,300]/[LCM of 975,551]= 2/537225
Therefore, the GCF of 746/975,300/551 is 2/537225.
To find the highest common factor of 746,300, we have to find the factors of both numbers and list the highest common factor.
The factors of 746 are 1, 2, 373, 746
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The HCF of 746,300 is 2.
Lets's calculate GCF of 746,300
2 | 746, 300 |
373, 150 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 746
:1,2,373,746
Now, list down the factors of 300
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 746,300 . The biggest common factor number is the GCF number.
So the greatest common factor 746,300 is 2.
Lets's calculate LCM of 975,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 537225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/537225
Therefore, the GCF of Fractions 746/975,300/551 is 2/537225
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 975,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,551) x common factors =1 x 1 = 1
LCM(975,551) = ( 975 × 551 ) / 1
LCM(975,551) = 537225 / 1
LCM(975,551) = 537225
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 746,300?
The HCF of 746,300 is 2
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 746/975, 300/551?
Answer: GCF of Numerators as per given numbers 746/975, 300/551 is
GCF of Numerators i.e. for 746,300 is 2
LCM of denominators i.e. for 975,551 is 537225.
Thus, GCF of Fractions is 2/537225.Finally, GCF of Fractions for 746/975, 300/551 is 2/537225.