GCF of 4605/282, 7746/6809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4605/282, 7746/6809 i.e 3/1920138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4605/282, 7746/6809.
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 4605/282,7746/6809?
Given fractions are 4605/282,7746/6809
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 4605/282,7746/6809, numerators are 4605,7746
Denominators are 282,6809
The GCF of 4605,7746 is 3 .
LCM of 282,6809 is 1920138.
The greatest common factor of 4605/282,7746/6809 = [GCF of 4605,7746]/[LCM of 282,6809]= 3/1920138
Therefore, the GCF of 4605/282,7746/6809 is 3/1920138.
To find the highest common factor of 4605,7746, we have to find the factors of both numbers and list the highest common factor.
The factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605
The factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746
The HCF of 4605,7746 is 3.
Lets's calculate GCF of 4605,7746
| 3 | 4605, 7746 |
| 1535, 2582 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4605,7746 By Matching Biggest Common Factor Method
Now, list down the factors of 4605
:1,3,5,15,307,921,1535,4605
Now, list down the factors of 7746
:1,2,3,6,1291,2582,3873,7746
Greatest Common Factor
We found the factors 4605,7746 . The biggest common factor number is the GCF number.
So the greatest common factor 4605,7746 is 3.
Lets's calculate LCM of 282,6809
Given numbers has no common factors except 1. So, there LCM is their product i.e 1920138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1920138
Therefore, the GCF of Fractions 4605/282,7746/6809 is 3/1920138
Least Common Multiple of 282,6809 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 282,6809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,6809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,6809) x common factors =1 x 1 = 1
LCM(282,6809) = ( 282 × 6809 ) / 1
LCM(282,6809) = 1920138 / 1
LCM(282,6809) = 1920138
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FAQs on GCF of Fractions of 4605/282, 7746/6809
1. What is the HCF of 4605,7746?
The HCF of 4605,7746 is 3
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 4605/282, 7746/6809?
Answer: GCF of Numerators as per given numbers 4605/282, 7746/6809 is
GCF of Numerators i.e. for 4605,7746 is 3
LCM of denominators i.e. for 282,6809 is 1920138.
Thus, GCF of Fractions is 3/1920138.Finally, GCF of Fractions for 4605/282, 7746/6809 is 3/1920138.