GCF of 4586/999, 4538/5309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4586/999, 4538/5309 i.e 2/5303691 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4586/999, 4538/5309.
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 4586/999,4538/5309?
Given fractions are 4586/999,4538/5309
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 4586/999,4538/5309, numerators are 4586,4538
Denominators are 999,5309
The GCF of 4586,4538 is 2 .
LCM of 999,5309 is 5303691.
The greatest common factor of 4586/999,4538/5309 = [GCF of 4586,4538]/[LCM of 999,5309]= 2/5303691
Therefore, the GCF of 4586/999,4538/5309 is 2/5303691.
To find the highest common factor of 4586,4538, we have to find the factors of both numbers and list the highest common factor.
The factors of 4586 are 1, 2, 2293, 4586
The factors of 4538 are 1, 2, 2269, 4538
The HCF of 4586,4538 is 2.
Lets's calculate GCF of 4586,4538
| 2 | 4586, 4538 |
| 2293, 2269 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4586,4538 By Matching Biggest Common Factor Method
Now, list down the factors of 4586
:1,2,2293,4586
Now, list down the factors of 4538
:1,2,2269,4538
Greatest Common Factor
We found the factors 4586,4538 . The biggest common factor number is the GCF number.
So the greatest common factor 4586,4538 is 2.
Lets's calculate LCM of 999,5309
Given numbers has no common factors except 1. So, there LCM is their product i.e 5303691
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5303691
Therefore, the GCF of Fractions 4586/999,4538/5309 is 2/5303691
Least Common Multiple of 999,5309 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 999,5309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,5309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,5309) x common factors =1 x 1 = 1
LCM(999,5309) = ( 999 × 5309 ) / 1
LCM(999,5309) = 5303691 / 1
LCM(999,5309) = 5303691
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4586/999, 4538/5309
1. What is the HCF of 4586,4538?
The HCF of 4586,4538 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 4586/999, 4538/5309?
Answer: GCF of Numerators as per given numbers 4586/999, 4538/5309 is
GCF of Numerators i.e. for 4586,4538 is 2
LCM of denominators i.e. for 999,5309 is 5303691.
Thus, GCF of Fractions is 2/5303691.Finally, GCF of Fractions for 4586/999, 4538/5309 is 2/5303691.