Use our free GCF of Fractions Calculator tool to compute the GCF of 53/256, 490/254, 732/472 i.e 1/1918208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 53/256, 490/254, 732/472.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/256,490/254,732/472
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 53/256,490/254,732/472, numerators are 53,490,732
Denominators are 256,254,472
The GCF of 53,490,732 is 1 .
LCM of 256,254,472 is 1918208.
The greatest common factor of 53/256,490/254,732/472 = [GCF of 53,490,732]/[LCM of 256,254,472]= 1/1918208
Therefore, the GCF of 53/256,490/254,732/472 is 1/1918208.
To find the highest common factor of 53,490,732, we have to find the factors of both numbers and list the highest common factor.
The factors of 53 are 1, 53
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The HCF of 53,490,732 is 1.
Lets's calculate GCF of 53,490,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 53
:1,53
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 53,490,732 . The biggest common factor number is the GCF number.
So the greatest common factor 53,490,732 is 1.
Lets's calculate LCM of 256,254,472
2 | 256, 254, 472 |
2 | 128, 127, 236 |
2 | 64, 127, 118 |
32, 127, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 32 x 127 x 59 = 1918208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1918208
Therefore, the GCF of Fractions 53/256,490/254,732/472 is 1/1918208
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 256,254,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,254,472) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(256,254,472) x common factors =2 x 8 = 16
LCM(256,254,472) = ( 256 × 254 × 472 ) / 16
LCM(256,254,472) = 30691328 / 16
LCM(256,254,472) = 1918208
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 53,490,732?
The HCF of 53,490,732 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 53/256, 490/254, 732/472?
Answer: GCF of Numerators as per given numbers 53/256, 490/254, 732/472 is
GCF of Numerators i.e. for 53,490,732 is 1
LCM of denominators i.e. for 256,254,472 is 1918208.
Thus, GCF of Fractions is 1/1918208.Finally, GCF of Fractions for 53/256, 490/254, 732/472 is 1/1918208.