Use our free GCF of Fractions Calculator tool to compute the GCF of 220/888, 608/743 i.e 4/659784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/888, 608/743.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/888,608/743
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 220/888,608/743, numerators are 220,608
Denominators are 888,743
The GCF of 220,608 is 4 .
LCM of 888,743 is 659784.
The greatest common factor of 220/888,608/743 = [GCF of 220,608]/[LCM of 888,743]= 4/659784
Therefore, the GCF of 220/888,608/743 is 4/659784.
To find the highest common factor of 220,608, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The HCF of 220,608 is 4.
Lets's calculate GCF of 220,608
2 | 220, 608 |
2 | 110, 304 |
55, 152 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 220,608 . The biggest common factor number is the GCF number.
So the greatest common factor 220,608 is 4.
Lets's calculate LCM of 888,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 659784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/659784
Therefore, the GCF of Fractions 220/888,608/743 is 4/659784
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 888,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(888,743) x common factors =1 x 1 = 1
LCM(888,743) = ( 888 × 743 ) / 1
LCM(888,743) = 659784 / 1
LCM(888,743) = 659784
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 220,608?
The HCF of 220,608 is 4
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 220/888, 608/743?
Answer: GCF of Numerators as per given numbers 220/888, 608/743 is
GCF of Numerators i.e. for 220,608 is 4
LCM of denominators i.e. for 888,743 is 659784.
Thus, GCF of Fractions is 4/659784.Finally, GCF of Fractions for 220/888, 608/743 is 4/659784.