GCF of 3123/831, 6993/4646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3123/831, 6993/4646 i.e 9/3860826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3123/831, 6993/4646.
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 3123/831,6993/4646?
Given fractions are 3123/831,6993/4646
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 3123/831,6993/4646, numerators are 3123,6993
Denominators are 831,4646
The GCF of 3123,6993 is 9 .
LCM of 831,4646 is 3860826.
The greatest common factor of 3123/831,6993/4646 = [GCF of 3123,6993]/[LCM of 831,4646]= 9/3860826
Therefore, the GCF of 3123/831,6993/4646 is 9/3860826.
To find the highest common factor of 3123,6993, we have to find the factors of both numbers and list the highest common factor.
The factors of 3123 are 1, 3, 9, 347, 1041, 3123
The factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993
The HCF of 3123,6993 is 9.
Lets's calculate GCF of 3123,6993
| 3 | 3123, 6993 |
| 3 | 1041, 2331 |
| 347, 777 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3123,6993 By Matching Biggest Common Factor Method
Now, list down the factors of 3123
:1,3,9,347,1041,3123
Now, list down the factors of 6993
:1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993
Greatest Common Factor
We found the factors 3123,6993 . The biggest common factor number is the GCF number.
So the greatest common factor 3123,6993 is 9.
Lets's calculate LCM of 831,4646
Given numbers has no common factors except 1. So, there LCM is their product i.e 3860826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3860826
Therefore, the GCF of Fractions 3123/831,6993/4646 is 9/3860826
Least Common Multiple of 831,4646 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 831,4646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,4646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,4646) x common factors =1 x 1 = 1
LCM(831,4646) = ( 831 × 4646 ) / 1
LCM(831,4646) = 3860826 / 1
LCM(831,4646) = 3860826
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FAQs on GCF of Fractions of 3123/831, 6993/4646
1. What is the HCF of 3123,6993?
The HCF of 3123,6993 is 9
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 3123/831, 6993/4646?
Answer: GCF of Numerators as per given numbers 3123/831, 6993/4646 is
GCF of Numerators i.e. for 3123,6993 is 9
LCM of denominators i.e. for 831,4646 is 3860826.
Thus, GCF of Fractions is 9/3860826.Finally, GCF of Fractions for 3123/831, 6993/4646 is 9/3860826.