GCF of 8/75, 23/61, 43/358, 483/430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/75, 23/61, 43/358, 483/430 i.e 1/70427550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/75, 23/61, 43/358, 483/430.
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 8/75,23/61,43/358,483/430?
Given fractions are 8/75,23/61,43/358,483/430
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 8/75,23/61,43/358,483/430, numerators are 8,23,43,483
Denominators are 75,61,358,430
The GCF of 8,23,43,483 is 1 .
LCM of 75,61,358,430 is 70427550.
The greatest common factor of 8/75,23/61,43/358,483/430 = [GCF of 8,23,43,483]/[LCM of 75,61,358,430]= 1/70427550
Therefore, the GCF of 8/75,23/61,43/358,483/430 is 1/70427550.
To find the highest common factor of 8,23,43,483, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 23 are 1, 23
The factors of 43 are 1, 43
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The HCF of 8,23,43,483 is 1.
Lets's calculate GCF of 8,23,43,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8,23,43,483 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 23
:1,23
Now, list down the factors of 43
:1,43
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 8,23,43,483 . The biggest common factor number is the GCF number.
So the greatest common factor 8,23,43,483 is 1.
Lets's calculate LCM of 75,61,358,430
| 2 | 75, 61, 358, 430 |
| 5 | 75, 61, 179, 215 |
| 15, 61, 179, 43 |
∴ So the LCM of the given numbers is 2 x 5 x 15 x 61 x 179 x 43 = 70427550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70427550
Therefore, the GCF of Fractions 8/75,23/61,43/358,483/430 is 1/70427550
Least Common Multiple of 75,61,358,430 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 75,61,358,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,61,358,430) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(75,61,358,430) x common factors =1 x 10 = 10
LCM(75,61,358,430) = ( 75 × 61 × 358 × 430 ) / 10
LCM(75,61,358,430) = 704275500 / 10
LCM(75,61,358,430) = 70427550
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8/75, 23/61, 43/358, 483/430
1. What is the HCF of 8,23,43,483?
The HCF of 8,23,43,483 is 1
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 8/75, 23/61, 43/358, 483/430?
Answer: GCF of Numerators as per given numbers 8/75, 23/61, 43/358, 483/430 is
GCF of Numerators i.e. for 8,23,43,483 is 1
LCM of denominators i.e. for 75,61,358,430 is 70427550.
Thus, GCF of Fractions is 1/70427550.Finally, GCF of Fractions for 8/75, 23/61, 43/358, 483/430 is 1/70427550.