GCF of 1664/804, 7808/8259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1664/804, 7808/8259 i.e 128/2213412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1664/804, 7808/8259.
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 1664/804,7808/8259?
Given fractions are 1664/804,7808/8259
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 1664/804,7808/8259, numerators are 1664,7808
Denominators are 804,8259
The GCF of 1664,7808 is 128 .
LCM of 804,8259 is 2213412.
The greatest common factor of 1664/804,7808/8259 = [GCF of 1664,7808]/[LCM of 804,8259]= 128/2213412
Therefore, the GCF of 1664/804,7808/8259 is 128/2213412.
To find the highest common factor of 1664,7808, we have to find the factors of both numbers and list the highest common factor.
The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664
The factors of 7808 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808
The HCF of 1664,7808 is 128.
Lets's calculate GCF of 1664,7808
| 2 | 1664, 7808 |
| 2 | 832, 3904 |
| 2 | 416, 1952 |
| 2 | 208, 976 |
| 2 | 104, 488 |
| 2 | 52, 244 |
| 2 | 26, 122 |
| 13, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
Greatest Common Factor of 1664,7808 By Matching Biggest Common Factor Method
Now, list down the factors of 1664
:1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664
Now, list down the factors of 7808
:1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808
Greatest Common Factor
We found the factors 1664,7808 . The biggest common factor number is the GCF number.
So the greatest common factor 1664,7808 is 128.
Lets's calculate LCM of 804,8259
| 3 | 804, 8259 |
| 268, 2753 |
∴ So the LCM of the given numbers is 3 x 268 x 2753 = 2213412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 128/2213412
Therefore, the GCF of Fractions 1664/804,7808/8259 is 128/2213412
Least Common Multiple of 804,8259 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 804,8259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,8259) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(804,8259) x common factors =3 x 1 = 3
LCM(804,8259) = ( 804 × 8259 ) / 3
LCM(804,8259) = 6640236 / 3
LCM(804,8259) = 2213412
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FAQs on GCF of Fractions of 1664/804, 7808/8259
1. What is the HCF of 1664,7808?
The HCF of 1664,7808 is 128
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 1664/804, 7808/8259?
Answer: GCF of Numerators as per given numbers 1664/804, 7808/8259 is
GCF of Numerators i.e. for 1664,7808 is 128
LCM of denominators i.e. for 804,8259 is 2213412.
Thus, GCF of Fractions is 128/2213412.Finally, GCF of Fractions for 1664/804, 7808/8259 is 128/2213412.