Use our free GCF of Fractions Calculator tool to compute the GCF of 808/122, 272/540 i.e 8/32940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 808/122, 272/540.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 808/122,272/540
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 808/122,272/540, numerators are 808,272
Denominators are 122,540
The GCF of 808,272 is 8 .
LCM of 122,540 is 32940.
The greatest common factor of 808/122,272/540 = [GCF of 808,272]/[LCM of 122,540]= 8/32940
Therefore, the GCF of 808/122,272/540 is 8/32940.
To find the highest common factor of 808,272, we have to find the factors of both numbers and list the highest common factor.
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
The HCF of 808,272 is 8.
Lets's calculate GCF of 808,272
2 | 808, 272 |
2 | 404, 136 |
2 | 202, 68 |
101, 34 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Now, list down the factors of 272
:1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 808,272 . The biggest common factor number is the GCF number.
So the greatest common factor 808,272 is 8.
Lets's calculate LCM of 122,540
2 | 122, 540 |
61, 270 |
∴ So the LCM of the given numbers is 2 x 61 x 270 = 32940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/32940
Therefore, the GCF of Fractions 808/122,272/540 is 8/32940
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 122,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,540) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,540) x common factors =2 x 1 = 2
LCM(122,540) = ( 122 × 540 ) / 2
LCM(122,540) = 65880 / 2
LCM(122,540) = 32940
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 808,272?
The HCF of 808,272 is 8
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 808/122, 272/540?
Answer: GCF of Numerators as per given numbers 808/122, 272/540 is
GCF of Numerators i.e. for 808,272 is 8
LCM of denominators i.e. for 122,540 is 32940.
Thus, GCF of Fractions is 8/32940.Finally, GCF of Fractions for 808/122, 272/540 is 8/32940.