GCF of 621/58, 183/4208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 621/58, 183/4208 i.e 3/122032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/58, 183/4208.
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 621/58,183/4208?
Given fractions are 621/58,183/4208
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 621/58,183/4208, numerators are 621,183
Denominators are 58,4208
The GCF of 621,183 is 3 .
LCM of 58,4208 is 122032.
The greatest common factor of 621/58,183/4208 = [GCF of 621,183]/[LCM of 58,4208]= 3/122032
Therefore, the GCF of 621/58,183/4208 is 3/122032.
To find the highest common factor of 621,183, we have to find the factors of both numbers and list the highest common factor.
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 183 are 1, 3, 61, 183
The HCF of 621,183 is 3.
Lets's calculate GCF of 621,183
| 3 | 621, 183 |
| 207, 61 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 621,183 By Matching Biggest Common Factor Method
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 183
:1,3,61,183
Greatest Common Factor
We found the factors 621,183 . The biggest common factor number is the GCF number.
So the greatest common factor 621,183 is 3.
Lets's calculate LCM of 58,4208
| 2 | 58, 4208 |
| 29, 2104 |
∴ So the LCM of the given numbers is 2 x 29 x 2104 = 122032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/122032
Therefore, the GCF of Fractions 621/58,183/4208 is 3/122032
Least Common Multiple of 58,4208 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 58,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,4208) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,4208) x common factors =2 x 1 = 2
LCM(58,4208) = ( 58 × 4208 ) / 2
LCM(58,4208) = 244064 / 2
LCM(58,4208) = 122032
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FAQs on GCF of Fractions of 621/58, 183/4208
1. What is the HCF of 621,183?
The HCF of 621,183 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 621/58, 183/4208?
Answer: GCF of Numerators as per given numbers 621/58, 183/4208 is
GCF of Numerators i.e. for 621,183 is 3
LCM of denominators i.e. for 58,4208 is 122032.
Thus, GCF of Fractions is 3/122032.Finally, GCF of Fractions for 621/58, 183/4208 is 3/122032.