GCF of 8545/203, 3230/508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8545/203, 3230/508 i.e 5/103124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8545/203, 3230/508.
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 8545/203,3230/508?
Given fractions are 8545/203,3230/508
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 8545/203,3230/508, numerators are 8545,3230
Denominators are 203,508
The GCF of 8545,3230 is 5 .
LCM of 203,508 is 103124.
The greatest common factor of 8545/203,3230/508 = [GCF of 8545,3230]/[LCM of 203,508]= 5/103124
Therefore, the GCF of 8545/203,3230/508 is 5/103124.
To find the highest common factor of 8545,3230, we have to find the factors of both numbers and list the highest common factor.
The factors of 8545 are 1, 5, 1709, 8545
The factors of 3230 are 1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230
The HCF of 8545,3230 is 5.
Lets's calculate GCF of 8545,3230
| 5 | 8545, 3230 |
| 1709, 646 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8545,3230 By Matching Biggest Common Factor Method
Now, list down the factors of 8545
:1,5,1709,8545
Now, list down the factors of 3230
:1,2,5,10,17,19,34,38,85,95,170,190,323,646,1615,3230
Greatest Common Factor
We found the factors 8545,3230 . The biggest common factor number is the GCF number.
So the greatest common factor 8545,3230 is 5.
Lets's calculate LCM of 203,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 103124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/103124
Therefore, the GCF of Fractions 8545/203,3230/508 is 5/103124
Least Common Multiple of 203,508 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 203,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,508) x common factors =1 x 1 = 1
LCM(203,508) = ( 203 × 508 ) / 1
LCM(203,508) = 103124 / 1
LCM(203,508) = 103124
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FAQs on GCF of Fractions of 8545/203, 3230/508
1. What is the HCF of 8545,3230?
The HCF of 8545,3230 is 5
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 8545/203, 3230/508?
Answer: GCF of Numerators as per given numbers 8545/203, 3230/508 is
GCF of Numerators i.e. for 8545,3230 is 5
LCM of denominators i.e. for 203,508 is 103124.
Thus, GCF of Fractions is 5/103124.Finally, GCF of Fractions for 8545/203, 3230/508 is 5/103124.