Use our free GCF of Fractions Calculator tool to compute the GCF of 6475/691, 1500/5772 i.e 25/3988452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6475/691, 1500/5772.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6475/691,1500/5772
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 6475/691,1500/5772, numerators are 6475,1500
Denominators are 691,5772
The GCF of 6475,1500 is 25 .
LCM of 691,5772 is 3988452.
The greatest common factor of 6475/691,1500/5772 = [GCF of 6475,1500]/[LCM of 691,5772]= 25/3988452
Therefore, the GCF of 6475/691,1500/5772 is 25/3988452.
To find the highest common factor of 6475,1500, we have to find the factors of both numbers and list the highest common factor.
The factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475
The factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
The HCF of 6475,1500 is 25.
Lets's calculate GCF of 6475,1500
5 | 6475, 1500 |
5 | 1295, 300 |
259, 60 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 6475
:1,5,7,25,35,37,175,185,259,925,1295,6475
Now, list down the factors of 1500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500
Greatest Common Factor
We found the factors 6475,1500 . The biggest common factor number is the GCF number.
So the greatest common factor 6475,1500 is 25.
Lets's calculate LCM of 691,5772
Given numbers has no common factors except 1. So, there LCM is their product i.e 3988452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/3988452
Therefore, the GCF of Fractions 6475/691,1500/5772 is 25/3988452
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 691,5772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,5772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,5772) x common factors =1 x 1 = 1
LCM(691,5772) = ( 691 × 5772 ) / 1
LCM(691,5772) = 3988452 / 1
LCM(691,5772) = 3988452
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6475,1500?
The HCF of 6475,1500 is 25
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 6475/691, 1500/5772?
Answer: GCF of Numerators as per given numbers 6475/691, 1500/5772 is
GCF of Numerators i.e. for 6475,1500 is 25
LCM of denominators i.e. for 691,5772 is 3988452.
Thus, GCF of Fractions is 25/3988452.Finally, GCF of Fractions for 6475/691, 1500/5772 is 25/3988452.