GCF of 8643/761, 1656/1064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8643/761, 1656/1064 i.e 3/809704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8643/761, 1656/1064.
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 8643/761,1656/1064?
Given fractions are 8643/761,1656/1064
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 8643/761,1656/1064, numerators are 8643,1656
Denominators are 761,1064
The GCF of 8643,1656 is 3 .
LCM of 761,1064 is 809704.
The greatest common factor of 8643/761,1656/1064 = [GCF of 8643,1656]/[LCM of 761,1064]= 3/809704
Therefore, the GCF of 8643/761,1656/1064 is 3/809704.
To find the highest common factor of 8643,1656, we have to find the factors of both numbers and list the highest common factor.
The factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643
The factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656
The HCF of 8643,1656 is 3.
Lets's calculate GCF of 8643,1656
| 3 | 8643, 1656 |
| 2881, 552 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8643,1656 By Matching Biggest Common Factor Method
Now, list down the factors of 8643
:1,3,43,67,129,201,2881,8643
Now, list down the factors of 1656
:1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656
Greatest Common Factor
We found the factors 8643,1656 . The biggest common factor number is the GCF number.
So the greatest common factor 8643,1656 is 3.
Lets's calculate LCM of 761,1064
Given numbers has no common factors except 1. So, there LCM is their product i.e 809704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/809704
Therefore, the GCF of Fractions 8643/761,1656/1064 is 3/809704
Least Common Multiple of 761,1064 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 761,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,1064) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,1064) x common factors =1 x 1 = 1
LCM(761,1064) = ( 761 × 1064 ) / 1
LCM(761,1064) = 809704 / 1
LCM(761,1064) = 809704
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FAQs on GCF of Fractions of 8643/761, 1656/1064
1. What is the HCF of 8643,1656?
The HCF of 8643,1656 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 8643/761, 1656/1064?
Answer: GCF of Numerators as per given numbers 8643/761, 1656/1064 is
GCF of Numerators i.e. for 8643,1656 is 3
LCM of denominators i.e. for 761,1064 is 809704.
Thus, GCF of Fractions is 3/809704.Finally, GCF of Fractions for 8643/761, 1656/1064 is 3/809704.