Use our free GCF of Fractions Calculator tool to compute the GCF of 800/86, 880/664 i.e 80/28552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 800/86, 880/664.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 800/86,880/664
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 800/86,880/664, numerators are 800,880
Denominators are 86,664
The GCF of 800,880 is 80 .
LCM of 86,664 is 28552.
The greatest common factor of 800/86,880/664 = [GCF of 800,880]/[LCM of 86,664]= 80/28552
Therefore, the GCF of 800/86,880/664 is 80/28552.
To find the highest common factor of 800,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 800,880 is 80.
Lets's calculate GCF of 800,880
2 | 800, 880 |
2 | 400, 440 |
2 | 200, 220 |
2 | 100, 110 |
5 | 50, 55 |
10, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80
Now, list down the factors of 800
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 800,880 . The biggest common factor number is the GCF number.
So the greatest common factor 800,880 is 80.
Lets's calculate LCM of 86,664
2 | 86, 664 |
43, 332 |
∴ So the LCM of the given numbers is 2 x 43 x 332 = 28552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/28552
Therefore, the GCF of Fractions 800/86,880/664 is 80/28552
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 86,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,664) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,664) x common factors =2 x 1 = 2
LCM(86,664) = ( 86 × 664 ) / 2
LCM(86,664) = 57104 / 2
LCM(86,664) = 28552
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 800,880?
The HCF of 800,880 is 80
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 800/86, 880/664?
Answer: GCF of Numerators as per given numbers 800/86, 880/664 is
GCF of Numerators i.e. for 800,880 is 80
LCM of denominators i.e. for 86,664 is 28552.
Thus, GCF of Fractions is 80/28552.Finally, GCF of Fractions for 800/86, 880/664 is 80/28552.