GCF of 5806/608, 6123/9534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5806/608, 6123/9534 i.e 1/2898336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5806/608, 6123/9534.
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 5806/608,6123/9534?
Given fractions are 5806/608,6123/9534
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 5806/608,6123/9534, numerators are 5806,6123
Denominators are 608,9534
The GCF of 5806,6123 is 1 .
LCM of 608,9534 is 2898336.
The greatest common factor of 5806/608,6123/9534 = [GCF of 5806,6123]/[LCM of 608,9534]= 1/2898336
Therefore, the GCF of 5806/608,6123/9534 is 1/2898336.
To find the highest common factor of 5806,6123, we have to find the factors of both numbers and list the highest common factor.
The factors of 5806 are 1, 2, 2903, 5806
The factors of 6123 are 1, 3, 13, 39, 157, 471, 2041, 6123
The HCF of 5806,6123 is 1.
Lets's calculate GCF of 5806,6123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5806,6123 By Matching Biggest Common Factor Method
Now, list down the factors of 5806
:1,2,2903,5806
Now, list down the factors of 6123
:1,3,13,39,157,471,2041,6123
Greatest Common Factor
We found the factors 5806,6123 . The biggest common factor number is the GCF number.
So the greatest common factor 5806,6123 is 1.
Lets's calculate LCM of 608,9534
| 2 | 608, 9534 |
| 304, 4767 |
∴ So the LCM of the given numbers is 2 x 304 x 4767 = 2898336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2898336
Therefore, the GCF of Fractions 5806/608,6123/9534 is 1/2898336
Least Common Multiple of 608,9534 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 608,9534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,9534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(608,9534) x common factors =2 x 1 = 2
LCM(608,9534) = ( 608 × 9534 ) / 2
LCM(608,9534) = 5796672 / 2
LCM(608,9534) = 2898336
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FAQs on GCF of Fractions of 5806/608, 6123/9534
1. What is the HCF of 5806,6123?
The HCF of 5806,6123 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 5806/608, 6123/9534?
Answer: GCF of Numerators as per given numbers 5806/608, 6123/9534 is
GCF of Numerators i.e. for 5806,6123 is 1
LCM of denominators i.e. for 608,9534 is 2898336.
Thus, GCF of Fractions is 1/2898336.Finally, GCF of Fractions for 5806/608, 6123/9534 is 1/2898336.