GCF of 704/711, 5842/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 704/711, 5842/821 i.e 2/583731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 704/711, 5842/821.
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 704/711,5842/821?
Given fractions are 704/711,5842/821
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 704/711,5842/821, numerators are 704,5842
Denominators are 711,821
The GCF of 704,5842 is 2 .
LCM of 711,821 is 583731.
The greatest common factor of 704/711,5842/821 = [GCF of 704,5842]/[LCM of 711,821]= 2/583731
Therefore, the GCF of 704/711,5842/821 is 2/583731.
To find the highest common factor of 704,5842, we have to find the factors of both numbers and list the highest common factor.
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The factors of 5842 are 1, 2, 23, 46, 127, 254, 2921, 5842
The HCF of 704,5842 is 2.
Lets's calculate GCF of 704,5842
| 2 | 704, 5842 |
| 352, 2921 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 704,5842 By Matching Biggest Common Factor Method
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Now, list down the factors of 5842
:1,2,23,46,127,254,2921,5842
Greatest Common Factor
We found the factors 704,5842 . The biggest common factor number is the GCF number.
So the greatest common factor 704,5842 is 2.
Lets's calculate LCM of 711,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 583731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/583731
Therefore, the GCF of Fractions 704/711,5842/821 is 2/583731
Least Common Multiple of 711,821 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 711,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,821) x common factors =1 x 1 = 1
LCM(711,821) = ( 711 × 821 ) / 1
LCM(711,821) = 583731 / 1
LCM(711,821) = 583731
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FAQs on GCF of Fractions of 704/711, 5842/821
1. What is the HCF of 704,5842?
The HCF of 704,5842 is 2
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 704/711, 5842/821?
Answer: GCF of Numerators as per given numbers 704/711, 5842/821 is
GCF of Numerators i.e. for 704,5842 is 2
LCM of denominators i.e. for 711,821 is 583731.
Thus, GCF of Fractions is 2/583731.Finally, GCF of Fractions for 704/711, 5842/821 is 2/583731.