GCF of 1806/545, 1334/2667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1806/545, 1334/2667 i.e 2/1453515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1806/545, 1334/2667.
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 1806/545,1334/2667?
Given fractions are 1806/545,1334/2667
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 1806/545,1334/2667, numerators are 1806,1334
Denominators are 545,2667
The GCF of 1806,1334 is 2 .
LCM of 545,2667 is 1453515.
The greatest common factor of 1806/545,1334/2667 = [GCF of 1806,1334]/[LCM of 545,2667]= 2/1453515
Therefore, the GCF of 1806/545,1334/2667 is 2/1453515.
To find the highest common factor of 1806,1334, we have to find the factors of both numbers and list the highest common factor.
The factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806
The factors of 1334 are 1, 2, 23, 29, 46, 58, 667, 1334
The HCF of 1806,1334 is 2.
Lets's calculate GCF of 1806,1334
| 2 | 1806, 1334 |
| 903, 667 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1806,1334 By Matching Biggest Common Factor Method
Now, list down the factors of 1806
:1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806
Now, list down the factors of 1334
:1,2,23,29,46,58,667,1334
Greatest Common Factor
We found the factors 1806,1334 . The biggest common factor number is the GCF number.
So the greatest common factor 1806,1334 is 2.
Lets's calculate LCM of 545,2667
Given numbers has no common factors except 1. So, there LCM is their product i.e 1453515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1453515
Therefore, the GCF of Fractions 1806/545,1334/2667 is 2/1453515
Least Common Multiple of 545,2667 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 545,2667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,2667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,2667) x common factors =1 x 1 = 1
LCM(545,2667) = ( 545 × 2667 ) / 1
LCM(545,2667) = 1453515 / 1
LCM(545,2667) = 1453515
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FAQs on GCF of Fractions of 1806/545, 1334/2667
1. What is the HCF of 1806,1334?
The HCF of 1806,1334 is 2
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 1806/545, 1334/2667?
Answer: GCF of Numerators as per given numbers 1806/545, 1334/2667 is
GCF of Numerators i.e. for 1806,1334 is 2
LCM of denominators i.e. for 545,2667 is 1453515.
Thus, GCF of Fractions is 2/1453515.Finally, GCF of Fractions for 1806/545, 1334/2667 is 2/1453515.