GCF of 1551/257, 6405/9744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1551/257, 6405/9744 i.e 3/2504208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1551/257, 6405/9744.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1551/257,6405/9744?
Given fractions are 1551/257,6405/9744
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 1551/257,6405/9744, numerators are 1551,6405
Denominators are 257,9744
The GCF of 1551,6405 is 3 .
LCM of 257,9744 is 2504208.
The greatest common factor of 1551/257,6405/9744 = [GCF of 1551,6405]/[LCM of 257,9744]= 3/2504208
Therefore, the GCF of 1551/257,6405/9744 is 3/2504208.
To find the highest common factor of 1551,6405, we have to find the factors of both numbers and list the highest common factor.
The factors of 1551 are 1, 3, 11, 33, 47, 141, 517, 1551
The factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405
The HCF of 1551,6405 is 3.
Lets's calculate GCF of 1551,6405
| 3 | 1551, 6405 |
| 517, 2135 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1551,6405 By Matching Biggest Common Factor Method
Now, list down the factors of 1551
:1,3,11,33,47,141,517,1551
Now, list down the factors of 6405
:1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Greatest Common Factor
We found the factors 1551,6405 . The biggest common factor number is the GCF number.
So the greatest common factor 1551,6405 is 3.
Lets's calculate LCM of 257,9744
Given numbers has no common factors except 1. So, there LCM is their product i.e 2504208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2504208
Therefore, the GCF of Fractions 1551/257,6405/9744 is 3/2504208
Least Common Multiple of 257,9744 with GCF Formula
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 257,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,9744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,9744) x common factors =1 x 1 = 1
LCM(257,9744) = ( 257 × 9744 ) / 1
LCM(257,9744) = 2504208 / 1
LCM(257,9744) = 2504208
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FAQs on GCF of Fractions of 1551/257, 6405/9744
1. What is the HCF of 1551,6405?
The HCF of 1551,6405 is 3
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 1551/257, 6405/9744?
Answer: GCF of Numerators as per given numbers 1551/257, 6405/9744 is
GCF of Numerators i.e. for 1551,6405 is 3
LCM of denominators i.e. for 257,9744 is 2504208.
Thus, GCF of Fractions is 3/2504208.Finally, GCF of Fractions for 1551/257, 6405/9744 is 3/2504208.