Use our free GCF of Fractions Calculator tool to compute the GCF of 1657/335, 9504/765 i.e 1/51255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1657/335, 9504/765.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1657/335,9504/765
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 1657/335,9504/765, numerators are 1657,9504
Denominators are 335,765
The GCF of 1657,9504 is 1 .
LCM of 335,765 is 51255.
The greatest common factor of 1657/335,9504/765 = [GCF of 1657,9504]/[LCM of 335,765]= 1/51255
Therefore, the GCF of 1657/335,9504/765 is 1/51255.
To find the highest common factor of 1657,9504, we have to find the factors of both numbers and list the highest common factor.
The factors of 1657 are 1, 1657
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
The HCF of 1657,9504 is 1.
Lets's calculate GCF of 1657,9504
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1657
:1,1657
Now, list down the factors of 9504
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504
Greatest Common Factor
We found the factors 1657,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 1657,9504 is 1.
Lets's calculate LCM of 335,765
5 | 335, 765 |
67, 153 |
∴ So the LCM of the given numbers is 5 x 67 x 153 = 51255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51255
Therefore, the GCF of Fractions 1657/335,9504/765 is 1/51255
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 335,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,765) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(335,765) x common factors =5 x 1 = 5
LCM(335,765) = ( 335 × 765 ) / 5
LCM(335,765) = 256275 / 5
LCM(335,765) = 51255
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1657,9504?
The HCF of 1657,9504 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 1657/335, 9504/765?
Answer: GCF of Numerators as per given numbers 1657/335, 9504/765 is
GCF of Numerators i.e. for 1657,9504 is 1
LCM of denominators i.e. for 335,765 is 51255.
Thus, GCF of Fractions is 1/51255.Finally, GCF of Fractions for 1657/335, 9504/765 is 1/51255.