GCF of 4353/498, 4536/8587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4353/498, 4536/8587 i.e 3/4276326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4353/498, 4536/8587.
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 4353/498,4536/8587?
Given fractions are 4353/498,4536/8587
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 4353/498,4536/8587, numerators are 4353,4536
Denominators are 498,8587
The GCF of 4353,4536 is 3 .
LCM of 498,8587 is 4276326.
The greatest common factor of 4353/498,4536/8587 = [GCF of 4353,4536]/[LCM of 498,8587]= 3/4276326
Therefore, the GCF of 4353/498,4536/8587 is 3/4276326.
To find the highest common factor of 4353,4536, we have to find the factors of both numbers and list the highest common factor.
The factors of 4353 are 1, 3, 1451, 4353
The factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536
The HCF of 4353,4536 is 3.
Lets's calculate GCF of 4353,4536
| 3 | 4353, 4536 |
| 1451, 1512 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4353,4536 By Matching Biggest Common Factor Method
Now, list down the factors of 4353
:1,3,1451,4353
Now, list down the factors of 4536
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,81,84,108,126,162,168,189,216,252,324,378,504,567,648,756,1134,1512,2268,4536
Greatest Common Factor
We found the factors 4353,4536 . The biggest common factor number is the GCF number.
So the greatest common factor 4353,4536 is 3.
Lets's calculate LCM of 498,8587
Given numbers has no common factors except 1. So, there LCM is their product i.e 4276326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4276326
Therefore, the GCF of Fractions 4353/498,4536/8587 is 3/4276326
Least Common Multiple of 498,8587 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 498,8587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,8587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(498,8587) x common factors =1 x 1 = 1
LCM(498,8587) = ( 498 × 8587 ) / 1
LCM(498,8587) = 4276326 / 1
LCM(498,8587) = 4276326
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4353/498, 4536/8587
1. What is the HCF of 4353,4536?
The HCF of 4353,4536 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 4353/498, 4536/8587?
Answer: GCF of Numerators as per given numbers 4353/498, 4536/8587 is
GCF of Numerators i.e. for 4353,4536 is 3
LCM of denominators i.e. for 498,8587 is 4276326.
Thus, GCF of Fractions is 3/4276326.Finally, GCF of Fractions for 4353/498, 4536/8587 is 3/4276326.