GCF of 1612/243, 6677/3084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1612/243, 6677/3084 i.e 1/249804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1612/243, 6677/3084.
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 1612/243,6677/3084?
Given fractions are 1612/243,6677/3084
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 1612/243,6677/3084, numerators are 1612,6677
Denominators are 243,3084
The GCF of 1612,6677 is 1 .
LCM of 243,3084 is 249804.
The greatest common factor of 1612/243,6677/3084 = [GCF of 1612,6677]/[LCM of 243,3084]= 1/249804
Therefore, the GCF of 1612/243,6677/3084 is 1/249804.
To find the highest common factor of 1612,6677, we have to find the factors of both numbers and list the highest common factor.
The factors of 1612 are 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612
The factors of 6677 are 1, 11, 607, 6677
The HCF of 1612,6677 is 1.
Lets's calculate GCF of 1612,6677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1612,6677 By Matching Biggest Common Factor Method
Now, list down the factors of 1612
:1,2,4,13,26,31,52,62,124,403,806,1612
Now, list down the factors of 6677
:1,11,607,6677
Greatest Common Factor
We found the factors 1612,6677 . The biggest common factor number is the GCF number.
So the greatest common factor 1612,6677 is 1.
Lets's calculate LCM of 243,3084
| 3 | 243, 3084 |
| 81, 1028 |
∴ So the LCM of the given numbers is 3 x 81 x 1028 = 249804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249804
Therefore, the GCF of Fractions 1612/243,6677/3084 is 1/249804
Least Common Multiple of 243,3084 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 243,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,3084) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,3084) x common factors =3 x 1 = 3
LCM(243,3084) = ( 243 × 3084 ) / 3
LCM(243,3084) = 749412 / 3
LCM(243,3084) = 249804
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FAQs on GCF of Fractions of 1612/243, 6677/3084
1. What is the HCF of 1612,6677?
The HCF of 1612,6677 is 1
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 1612/243, 6677/3084?
Answer: GCF of Numerators as per given numbers 1612/243, 6677/3084 is
GCF of Numerators i.e. for 1612,6677 is 1
LCM of denominators i.e. for 243,3084 is 249804.
Thus, GCF of Fractions is 1/249804.Finally, GCF of Fractions for 1612/243, 6677/3084 is 1/249804.