GCF of 8533/258, 3496/5018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8533/258, 3496/5018 i.e 23/647322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8533/258, 3496/5018.
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 8533/258,3496/5018?
Given fractions are 8533/258,3496/5018
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 8533/258,3496/5018, numerators are 8533,3496
Denominators are 258,5018
The GCF of 8533,3496 is 23 .
LCM of 258,5018 is 647322.
The greatest common factor of 8533/258,3496/5018 = [GCF of 8533,3496]/[LCM of 258,5018]= 23/647322
Therefore, the GCF of 8533/258,3496/5018 is 23/647322.
To find the highest common factor of 8533,3496, we have to find the factors of both numbers and list the highest common factor.
The factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533
The factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496
The HCF of 8533,3496 is 23.
Lets's calculate GCF of 8533,3496
| 23 | 8533, 3496 |
| 371, 152 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 8533,3496 By Matching Biggest Common Factor Method
Now, list down the factors of 8533
:1,7,23,53,161,371,1219,8533
Now, list down the factors of 3496
:1,2,4,8,19,23,38,46,76,92,152,184,437,874,1748,3496
Greatest Common Factor
We found the factors 8533,3496 . The biggest common factor number is the GCF number.
So the greatest common factor 8533,3496 is 23.
Lets's calculate LCM of 258,5018
| 2 | 258, 5018 |
| 129, 2509 |
∴ So the LCM of the given numbers is 2 x 129 x 2509 = 647322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/647322
Therefore, the GCF of Fractions 8533/258,3496/5018 is 23/647322
Least Common Multiple of 258,5018 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 258,5018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,5018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,5018) x common factors =2 x 1 = 2
LCM(258,5018) = ( 258 × 5018 ) / 2
LCM(258,5018) = 1294644 / 2
LCM(258,5018) = 647322
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8533/258, 3496/5018
1. What is the HCF of 8533,3496?
The HCF of 8533,3496 is 23
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 8533/258, 3496/5018?
Answer: GCF of Numerators as per given numbers 8533/258, 3496/5018 is
GCF of Numerators i.e. for 8533,3496 is 23
LCM of denominators i.e. for 258,5018 is 647322.
Thus, GCF of Fractions is 23/647322.Finally, GCF of Fractions for 8533/258, 3496/5018 is 23/647322.