GCF of 1328/647, 1488/1797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1328/647, 1488/1797 i.e 16/1162659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1328/647, 1488/1797.
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 1328/647,1488/1797?
Given fractions are 1328/647,1488/1797
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 1328/647,1488/1797, numerators are 1328,1488
Denominators are 647,1797
The GCF of 1328,1488 is 16 .
LCM of 647,1797 is 1162659.
The greatest common factor of 1328/647,1488/1797 = [GCF of 1328,1488]/[LCM of 647,1797]= 16/1162659
Therefore, the GCF of 1328/647,1488/1797 is 16/1162659.
To find the highest common factor of 1328,1488, we have to find the factors of both numbers and list the highest common factor.
The factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328
The factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488
The HCF of 1328,1488 is 16.
Lets's calculate GCF of 1328,1488
| 2 | 1328, 1488 |
| 2 | 664, 744 |
| 2 | 332, 372 |
| 2 | 166, 186 |
| 83, 93 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1328,1488 By Matching Biggest Common Factor Method
Now, list down the factors of 1328
:1,2,4,8,16,83,166,332,664,1328
Now, list down the factors of 1488
:1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488
Greatest Common Factor
We found the factors 1328,1488 . The biggest common factor number is the GCF number.
So the greatest common factor 1328,1488 is 16.
Lets's calculate LCM of 647,1797
Given numbers has no common factors except 1. So, there LCM is their product i.e 1162659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1162659
Therefore, the GCF of Fractions 1328/647,1488/1797 is 16/1162659
Least Common Multiple of 647,1797 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 647,1797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,1797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,1797) x common factors =1 x 1 = 1
LCM(647,1797) = ( 647 × 1797 ) / 1
LCM(647,1797) = 1162659 / 1
LCM(647,1797) = 1162659
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FAQs on GCF of Fractions of 1328/647, 1488/1797
1. What is the HCF of 1328,1488?
The HCF of 1328,1488 is 16
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 1328/647, 1488/1797?
Answer: GCF of Numerators as per given numbers 1328/647, 1488/1797 is
GCF of Numerators i.e. for 1328,1488 is 16
LCM of denominators i.e. for 647,1797 is 1162659.
Thus, GCF of Fractions is 16/1162659.Finally, GCF of Fractions for 1328/647, 1488/1797 is 16/1162659.