GCF of 3858/706, 5809/6964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3858/706, 5809/6964 i.e 1/2458292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3858/706, 5809/6964.
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 3858/706,5809/6964?
Given fractions are 3858/706,5809/6964
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 3858/706,5809/6964, numerators are 3858,5809
Denominators are 706,6964
The GCF of 3858,5809 is 1 .
LCM of 706,6964 is 2458292.
The greatest common factor of 3858/706,5809/6964 = [GCF of 3858,5809]/[LCM of 706,6964]= 1/2458292
Therefore, the GCF of 3858/706,5809/6964 is 1/2458292.
To find the highest common factor of 3858,5809, we have to find the factors of both numbers and list the highest common factor.
The factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858
The factors of 5809 are 1, 37, 157, 5809
The HCF of 3858,5809 is 1.
Lets's calculate GCF of 3858,5809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3858,5809 By Matching Biggest Common Factor Method
Now, list down the factors of 3858
:1,2,3,6,643,1286,1929,3858
Now, list down the factors of 5809
:1,37,157,5809
Greatest Common Factor
We found the factors 3858,5809 . The biggest common factor number is the GCF number.
So the greatest common factor 3858,5809 is 1.
Lets's calculate LCM of 706,6964
| 2 | 706, 6964 |
| 353, 3482 |
∴ So the LCM of the given numbers is 2 x 353 x 3482 = 2458292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2458292
Therefore, the GCF of Fractions 3858/706,5809/6964 is 1/2458292
Least Common Multiple of 706,6964 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 706,6964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,6964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,6964) x common factors =2 x 1 = 2
LCM(706,6964) = ( 706 × 6964 ) / 2
LCM(706,6964) = 4916584 / 2
LCM(706,6964) = 2458292
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FAQs on GCF of Fractions of 3858/706, 5809/6964
1. What is the HCF of 3858,5809?
The HCF of 3858,5809 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 3858/706, 5809/6964?
Answer: GCF of Numerators as per given numbers 3858/706, 5809/6964 is
GCF of Numerators i.e. for 3858,5809 is 1
LCM of denominators i.e. for 706,6964 is 2458292.
Thus, GCF of Fractions is 1/2458292.Finally, GCF of Fractions for 3858/706, 5809/6964 is 1/2458292.