GCF of 8079/772, 4586/4602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8079/772, 4586/4602 i.e 1/1776372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8079/772, 4586/4602.
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 8079/772,4586/4602?
Given fractions are 8079/772,4586/4602
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 8079/772,4586/4602, numerators are 8079,4586
Denominators are 772,4602
The GCF of 8079,4586 is 1 .
LCM of 772,4602 is 1776372.
The greatest common factor of 8079/772,4586/4602 = [GCF of 8079,4586]/[LCM of 772,4602]= 1/1776372
Therefore, the GCF of 8079/772,4586/4602 is 1/1776372.
To find the highest common factor of 8079,4586, we have to find the factors of both numbers and list the highest common factor.
The factors of 8079 are 1, 3, 2693, 8079
The factors of 4586 are 1, 2, 2293, 4586
The HCF of 8079,4586 is 1.
Lets's calculate GCF of 8079,4586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8079,4586 By Matching Biggest Common Factor Method
Now, list down the factors of 8079
:1,3,2693,8079
Now, list down the factors of 4586
:1,2,2293,4586
Greatest Common Factor
We found the factors 8079,4586 . The biggest common factor number is the GCF number.
So the greatest common factor 8079,4586 is 1.
Lets's calculate LCM of 772,4602
| 2 | 772, 4602 |
| 386, 2301 |
∴ So the LCM of the given numbers is 2 x 386 x 2301 = 1776372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1776372
Therefore, the GCF of Fractions 8079/772,4586/4602 is 1/1776372
Least Common Multiple of 772,4602 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 772,4602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,4602) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,4602) x common factors =2 x 1 = 2
LCM(772,4602) = ( 772 × 4602 ) / 2
LCM(772,4602) = 3552744 / 2
LCM(772,4602) = 1776372
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FAQs on GCF of Fractions of 8079/772, 4586/4602
1. What is the HCF of 8079,4586?
The HCF of 8079,4586 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 8079/772, 4586/4602?
Answer: GCF of Numerators as per given numbers 8079/772, 4586/4602 is
GCF of Numerators i.e. for 8079,4586 is 1
LCM of denominators i.e. for 772,4602 is 1776372.
Thus, GCF of Fractions is 1/1776372.Finally, GCF of Fractions for 8079/772, 4586/4602 is 1/1776372.