GCF of 3064/696, 1389/6807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3064/696, 1389/6807 i.e 1/1579224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3064/696, 1389/6807.
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 3064/696,1389/6807?
Given fractions are 3064/696,1389/6807
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 3064/696,1389/6807, numerators are 3064,1389
Denominators are 696,6807
The GCF of 3064,1389 is 1 .
LCM of 696,6807 is 1579224.
The greatest common factor of 3064/696,1389/6807 = [GCF of 3064,1389]/[LCM of 696,6807]= 1/1579224
Therefore, the GCF of 3064/696,1389/6807 is 1/1579224.
To find the highest common factor of 3064,1389, we have to find the factors of both numbers and list the highest common factor.
The factors of 3064 are 1, 2, 4, 8, 383, 766, 1532, 3064
The factors of 1389 are 1, 3, 463, 1389
The HCF of 3064,1389 is 1.
Lets's calculate GCF of 3064,1389
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3064,1389 By Matching Biggest Common Factor Method
Now, list down the factors of 3064
:1,2,4,8,383,766,1532,3064
Now, list down the factors of 1389
:1,3,463,1389
Greatest Common Factor
We found the factors 3064,1389 . The biggest common factor number is the GCF number.
So the greatest common factor 3064,1389 is 1.
Lets's calculate LCM of 696,6807
| 3 | 696, 6807 |
| 232, 2269 |
∴ So the LCM of the given numbers is 3 x 232 x 2269 = 1579224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1579224
Therefore, the GCF of Fractions 3064/696,1389/6807 is 1/1579224
Least Common Multiple of 696,6807 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 696,6807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,6807) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(696,6807) x common factors =3 x 1 = 3
LCM(696,6807) = ( 696 × 6807 ) / 3
LCM(696,6807) = 4737672 / 3
LCM(696,6807) = 1579224
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FAQs on GCF of Fractions of 3064/696, 1389/6807
1. What is the HCF of 3064,1389?
The HCF of 3064,1389 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 3064/696, 1389/6807?
Answer: GCF of Numerators as per given numbers 3064/696, 1389/6807 is
GCF of Numerators i.e. for 3064,1389 is 1
LCM of denominators i.e. for 696,6807 is 1579224.
Thus, GCF of Fractions is 1/1579224.Finally, GCF of Fractions for 3064/696, 1389/6807 is 1/1579224.