Use our free GCF of Fractions Calculator tool to compute the GCF of 625/569, 200/721 i.e 25/410249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/569, 200/721.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 625/569,200/721
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 625/569,200/721, numerators are 625,200
Denominators are 569,721
The GCF of 625,200 is 25 .
LCM of 569,721 is 410249.
The greatest common factor of 625/569,200/721 = [GCF of 625,200]/[LCM of 569,721]= 25/410249
Therefore, the GCF of 625/569,200/721 is 25/410249.
To find the highest common factor of 625,200, we have to find the factors of both numbers and list the highest common factor.
The factors of 625 are 1, 5, 25, 125, 625
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The HCF of 625,200 is 25.
Lets's calculate GCF of 625,200
5 | 625, 200 |
5 | 125, 40 |
25, 8 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 625
:1,5,25,125,625
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 625,200 . The biggest common factor number is the GCF number.
So the greatest common factor 625,200 is 25.
Lets's calculate LCM of 569,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 410249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/410249
Therefore, the GCF of Fractions 625/569,200/721 is 25/410249
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 569,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,721) x common factors =1 x 1 = 1
LCM(569,721) = ( 569 × 721 ) / 1
LCM(569,721) = 410249 / 1
LCM(569,721) = 410249
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 625,200?
The HCF of 625,200 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 625/569, 200/721?
Answer: GCF of Numerators as per given numbers 625/569, 200/721 is
GCF of Numerators i.e. for 625,200 is 25
LCM of denominators i.e. for 569,721 is 410249.
Thus, GCF of Fractions is 25/410249.Finally, GCF of Fractions for 625/569, 200/721 is 25/410249.