Use our free GCF of Fractions Calculator tool to compute the GCF of 875/511, 200/544 i.e 25/277984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/511, 200/544.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/511,200/544
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 875/511,200/544, numerators are 875,200
Denominators are 511,544
The GCF of 875,200 is 25 .
LCM of 511,544 is 277984.
The greatest common factor of 875/511,200/544 = [GCF of 875,200]/[LCM of 511,544]= 25/277984
Therefore, the GCF of 875/511,200/544 is 25/277984.
To find the highest common factor of 875,200, we have to find the factors of both numbers and list the highest common factor.
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The HCF of 875,200 is 25.
Lets's calculate GCF of 875,200
5 | 875, 200 |
5 | 175, 40 |
35, 8 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
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 875,200 . The biggest common factor number is the GCF number.
So the greatest common factor 875,200 is 25.
Lets's calculate LCM of 511,544
Given numbers has no common factors except 1. So, there LCM is their product i.e 277984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/277984
Therefore, the GCF of Fractions 875/511,200/544 is 25/277984
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 511,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,544) x common factors =1 x 1 = 1
LCM(511,544) = ( 511 × 544 ) / 1
LCM(511,544) = 277984 / 1
LCM(511,544) = 277984
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 875,200?
The HCF of 875,200 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 875/511, 200/544?
Answer: GCF of Numerators as per given numbers 875/511, 200/544 is
GCF of Numerators i.e. for 875,200 is 25
LCM of denominators i.e. for 511,544 is 277984.
Thus, GCF of Fractions is 25/277984.Finally, GCF of Fractions for 875/511, 200/544 is 25/277984.