Use our free GCF of Fractions Calculator tool to compute the GCF of 25/562, 256/562, 720/518 i.e 1/145558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/562, 256/562, 720/518.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/562,256/562,720/518
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 25/562,256/562,720/518, numerators are 25,256,720
Denominators are 562,562,518
The GCF of 25,256,720 is 1 .
LCM of 562,562,518 is 145558.
The greatest common factor of 25/562,256/562,720/518 = [GCF of 25,256,720]/[LCM of 562,562,518]= 1/145558
Therefore, the GCF of 25/562,256/562,720/518 is 1/145558.
To find the highest common factor of 25,256,720, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The HCF of 25,256,720 is 1.
Lets's calculate GCF of 25,256,720
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 256
:1,2,4,8,16,32,64,128,256
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 25,256,720 . The biggest common factor number is the GCF number.
So the greatest common factor 25,256,720 is 1.
Lets's calculate LCM of 562,562,518
2 | 562, 562, 518 |
281 | 281, 281, 259 |
1, 1, 259 |
∴ So the LCM of the given numbers is 2 x 281 x 1 x 1 x 259 = 145558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145558
Therefore, the GCF of Fractions 25/562,256/562,720/518 is 1/145558
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 562,562,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,562,518) = 2
common factors(in case of two or more numbers have common factors) = 562
GCF(562,562,518) x common factors =2 x 562 = 1124
LCM(562,562,518) = ( 562 × 562 × 518 ) / 1124
LCM(562,562,518) = 163607192 / 1124
LCM(562,562,518) = 145558
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 25,256,720?
The HCF of 25,256,720 is 1
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 25/562, 256/562, 720/518?
Answer: GCF of Numerators as per given numbers 25/562, 256/562, 720/518 is
GCF of Numerators i.e. for 25,256,720 is 1
LCM of denominators i.e. for 562,562,518 is 145558.
Thus, GCF of Fractions is 1/145558.Finally, GCF of Fractions for 25/562, 256/562, 720/518 is 1/145558.