GCF of 7731/842, 5829/3309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7731/842, 5829/3309 i.e 3/2786178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7731/842, 5829/3309.
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 7731/842,5829/3309?
Given fractions are 7731/842,5829/3309
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 7731/842,5829/3309, numerators are 7731,5829
Denominators are 842,3309
The GCF of 7731,5829 is 3 .
LCM of 842,3309 is 2786178.
The greatest common factor of 7731/842,5829/3309 = [GCF of 7731,5829]/[LCM of 842,3309]= 3/2786178
Therefore, the GCF of 7731/842,5829/3309 is 3/2786178.
To find the highest common factor of 7731,5829, we have to find the factors of both numbers and list the highest common factor.
The factors of 7731 are 1, 3, 9, 859, 2577, 7731
The factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829
The HCF of 7731,5829 is 3.
Lets's calculate GCF of 7731,5829
| 3 | 7731, 5829 |
| 2577, 1943 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7731,5829 By Matching Biggest Common Factor Method
Now, list down the factors of 7731
:1,3,9,859,2577,7731
Now, list down the factors of 5829
:1,3,29,67,87,201,1943,5829
Greatest Common Factor
We found the factors 7731,5829 . The biggest common factor number is the GCF number.
So the greatest common factor 7731,5829 is 3.
Lets's calculate LCM of 842,3309
Given numbers has no common factors except 1. So, there LCM is their product i.e 2786178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2786178
Therefore, the GCF of Fractions 7731/842,5829/3309 is 3/2786178
Least Common Multiple of 842,3309 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 842,3309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,3309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,3309) x common factors =1 x 1 = 1
LCM(842,3309) = ( 842 × 3309 ) / 1
LCM(842,3309) = 2786178 / 1
LCM(842,3309) = 2786178
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FAQs on GCF of Fractions of 7731/842, 5829/3309
1. What is the HCF of 7731,5829?
The HCF of 7731,5829 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 7731/842, 5829/3309?
Answer: GCF of Numerators as per given numbers 7731/842, 5829/3309 is
GCF of Numerators i.e. for 7731,5829 is 3
LCM of denominators i.e. for 842,3309 is 2786178.
Thus, GCF of Fractions is 3/2786178.Finally, GCF of Fractions for 7731/842, 5829/3309 is 3/2786178.