GCF of 2056/804, 6909/3262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2056/804, 6909/3262 i.e 1/1311324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2056/804, 6909/3262.
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 2056/804,6909/3262?
Given fractions are 2056/804,6909/3262
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 2056/804,6909/3262, numerators are 2056,6909
Denominators are 804,3262
The GCF of 2056,6909 is 1 .
LCM of 804,3262 is 1311324.
The greatest common factor of 2056/804,6909/3262 = [GCF of 2056,6909]/[LCM of 804,3262]= 1/1311324
Therefore, the GCF of 2056/804,6909/3262 is 1/1311324.
To find the highest common factor of 2056,6909, we have to find the factors of both numbers and list the highest common factor.
The factors of 2056 are 1, 2, 4, 8, 257, 514, 1028, 2056
The factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909
The HCF of 2056,6909 is 1.
Lets's calculate GCF of 2056,6909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2056,6909 By Matching Biggest Common Factor Method
Now, list down the factors of 2056
:1,2,4,8,257,514,1028,2056
Now, list down the factors of 6909
:1,3,7,21,47,49,141,147,329,987,2303,6909
Greatest Common Factor
We found the factors 2056,6909 . The biggest common factor number is the GCF number.
So the greatest common factor 2056,6909 is 1.
Lets's calculate LCM of 804,3262
| 2 | 804, 3262 |
| 402, 1631 |
∴ So the LCM of the given numbers is 2 x 402 x 1631 = 1311324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1311324
Therefore, the GCF of Fractions 2056/804,6909/3262 is 1/1311324
Least Common Multiple of 804,3262 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 804,3262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,3262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(804,3262) x common factors =2 x 1 = 2
LCM(804,3262) = ( 804 × 3262 ) / 2
LCM(804,3262) = 2622648 / 2
LCM(804,3262) = 1311324
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FAQs on GCF of Fractions of 2056/804, 6909/3262
1. What is the HCF of 2056,6909?
The HCF of 2056,6909 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 2056/804, 6909/3262?
Answer: GCF of Numerators as per given numbers 2056/804, 6909/3262 is
GCF of Numerators i.e. for 2056,6909 is 1
LCM of denominators i.e. for 804,3262 is 1311324.
Thus, GCF of Fractions is 1/1311324.Finally, GCF of Fractions for 2056/804, 6909/3262 is 1/1311324.