GCF of 8469/704, 1178/9312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8469/704, 1178/9312 i.e 1/204864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8469/704, 1178/9312.
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 8469/704,1178/9312?
Given fractions are 8469/704,1178/9312
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 8469/704,1178/9312, numerators are 8469,1178
Denominators are 704,9312
The GCF of 8469,1178 is 1 .
LCM of 704,9312 is 204864.
The greatest common factor of 8469/704,1178/9312 = [GCF of 8469,1178]/[LCM of 704,9312]= 1/204864
Therefore, the GCF of 8469/704,1178/9312 is 1/204864.
To find the highest common factor of 8469,1178, we have to find the factors of both numbers and list the highest common factor.
The factors of 8469 are 1, 3, 9, 941, 2823, 8469
The factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178
The HCF of 8469,1178 is 1.
Lets's calculate GCF of 8469,1178
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8469,1178 By Matching Biggest Common Factor Method
Now, list down the factors of 8469
:1,3,9,941,2823,8469
Now, list down the factors of 1178
:1,2,19,31,38,62,589,1178
Greatest Common Factor
We found the factors 8469,1178 . The biggest common factor number is the GCF number.
So the greatest common factor 8469,1178 is 1.
Lets's calculate LCM of 704,9312
| 2 | 704, 9312 |
| 2 | 352, 4656 |
| 2 | 176, 2328 |
| 2 | 88, 1164 |
| 2 | 44, 582 |
| 22, 291 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 22 x 291 = 204864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204864
Therefore, the GCF of Fractions 8469/704,1178/9312 is 1/204864
Least Common Multiple of 704,9312 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 704,9312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,9312) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(704,9312) x common factors =32 x 1 = 32
LCM(704,9312) = ( 704 × 9312 ) / 32
LCM(704,9312) = 6555648 / 32
LCM(704,9312) = 204864
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FAQs on GCF of Fractions of 8469/704, 1178/9312
1. What is the HCF of 8469,1178?
The HCF of 8469,1178 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 8469/704, 1178/9312?
Answer: GCF of Numerators as per given numbers 8469/704, 1178/9312 is
GCF of Numerators i.e. for 8469,1178 is 1
LCM of denominators i.e. for 704,9312 is 204864.
Thus, GCF of Fractions is 1/204864.Finally, GCF of Fractions for 8469/704, 1178/9312 is 1/204864.