GCF of 2697/343, 8484/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2697/343, 8484/831 i.e 3/285033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2697/343, 8484/831.
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 2697/343,8484/831?
Given fractions are 2697/343,8484/831
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 2697/343,8484/831, numerators are 2697,8484
Denominators are 343,831
The GCF of 2697,8484 is 3 .
LCM of 343,831 is 285033.
The greatest common factor of 2697/343,8484/831 = [GCF of 2697,8484]/[LCM of 343,831]= 3/285033
Therefore, the GCF of 2697/343,8484/831 is 3/285033.
To find the highest common factor of 2697,8484, we have to find the factors of both numbers and list the highest common factor.
The factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697
The factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484
The HCF of 2697,8484 is 3.
Lets's calculate GCF of 2697,8484
| 3 | 2697, 8484 |
| 899, 2828 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2697,8484 By Matching Biggest Common Factor Method
Now, list down the factors of 2697
:1,3,29,31,87,93,899,2697
Now, list down the factors of 8484
:1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484
Greatest Common Factor
We found the factors 2697,8484 . The biggest common factor number is the GCF number.
So the greatest common factor 2697,8484 is 3.
Lets's calculate LCM of 343,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 285033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/285033
Therefore, the GCF of Fractions 2697/343,8484/831 is 3/285033
Least Common Multiple of 343,831 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 343,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,831) x common factors =1 x 1 = 1
LCM(343,831) = ( 343 × 831 ) / 1
LCM(343,831) = 285033 / 1
LCM(343,831) = 285033
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FAQs on GCF of Fractions of 2697/343, 8484/831
1. What is the HCF of 2697,8484?
The HCF of 2697,8484 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 2697/343, 8484/831?
Answer: GCF of Numerators as per given numbers 2697/343, 8484/831 is
GCF of Numerators i.e. for 2697,8484 is 3
LCM of denominators i.e. for 343,831 is 285033.
Thus, GCF of Fractions is 3/285033.Finally, GCF of Fractions for 2697/343, 8484/831 is 3/285033.