GCF of 6931/591, 6784/3456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6931/591, 6784/3456 i.e 1/680832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6931/591, 6784/3456.
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 6931/591,6784/3456?
Given fractions are 6931/591,6784/3456
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 6931/591,6784/3456, numerators are 6931,6784
Denominators are 591,3456
The GCF of 6931,6784 is 1 .
LCM of 591,3456 is 680832.
The greatest common factor of 6931/591,6784/3456 = [GCF of 6931,6784]/[LCM of 591,3456]= 1/680832
Therefore, the GCF of 6931/591,6784/3456 is 1/680832.
To find the highest common factor of 6931,6784, we have to find the factors of both numbers and list the highest common factor.
The factors of 6931 are 1, 29, 239, 6931
The factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784
The HCF of 6931,6784 is 1.
Lets's calculate GCF of 6931,6784
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6931,6784 By Matching Biggest Common Factor Method
Now, list down the factors of 6931
:1,29,239,6931
Now, list down the factors of 6784
:1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784
Greatest Common Factor
We found the factors 6931,6784 . The biggest common factor number is the GCF number.
So the greatest common factor 6931,6784 is 1.
Lets's calculate LCM of 591,3456
| 3 | 591, 3456 |
| 197, 1152 |
∴ So the LCM of the given numbers is 3 x 197 x 1152 = 680832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680832
Therefore, the GCF of Fractions 6931/591,6784/3456 is 1/680832
Least Common Multiple of 591,3456 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 591,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,3456) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,3456) x common factors =3 x 1 = 3
LCM(591,3456) = ( 591 × 3456 ) / 3
LCM(591,3456) = 2042496 / 3
LCM(591,3456) = 680832
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FAQs on GCF of Fractions of 6931/591, 6784/3456
1. What is the HCF of 6931,6784?
The HCF of 6931,6784 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 6931/591, 6784/3456?
Answer: GCF of Numerators as per given numbers 6931/591, 6784/3456 is
GCF of Numerators i.e. for 6931,6784 is 1
LCM of denominators i.e. for 591,3456 is 680832.
Thus, GCF of Fractions is 1/680832.Finally, GCF of Fractions for 6931/591, 6784/3456 is 1/680832.