GCF of 7694/823, 5840/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7694/823, 5840/686 i.e 2/564578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7694/823, 5840/686.
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 7694/823,5840/686?
Given fractions are 7694/823,5840/686
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 7694/823,5840/686, numerators are 7694,5840
Denominators are 823,686
The GCF of 7694,5840 is 2 .
LCM of 823,686 is 564578.
The greatest common factor of 7694/823,5840/686 = [GCF of 7694,5840]/[LCM of 823,686]= 2/564578
Therefore, the GCF of 7694/823,5840/686 is 2/564578.
To find the highest common factor of 7694,5840, we have to find the factors of both numbers and list the highest common factor.
The factors of 7694 are 1, 2, 3847, 7694
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840
The HCF of 7694,5840 is 2.
Lets's calculate GCF of 7694,5840
| 2 | 7694, 5840 |
| 3847, 2920 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7694,5840 By Matching Biggest Common Factor Method
Now, list down the factors of 7694
:1,2,3847,7694
Now, list down the factors of 5840
:1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Greatest Common Factor
We found the factors 7694,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 7694,5840 is 2.
Lets's calculate LCM of 823,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 564578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/564578
Therefore, the GCF of Fractions 7694/823,5840/686 is 2/564578
Least Common Multiple of 823,686 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 823,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,686) x common factors =1 x 1 = 1
LCM(823,686) = ( 823 × 686 ) / 1
LCM(823,686) = 564578 / 1
LCM(823,686) = 564578
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FAQs on GCF of Fractions of 7694/823, 5840/686
1. What is the HCF of 7694,5840?
The HCF of 7694,5840 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 7694/823, 5840/686?
Answer: GCF of Numerators as per given numbers 7694/823, 5840/686 is
GCF of Numerators i.e. for 7694,5840 is 2
LCM of denominators i.e. for 823,686 is 564578.
Thus, GCF of Fractions is 2/564578.Finally, GCF of Fractions for 7694/823, 5840/686 is 2/564578.