GCF of 4/65, 58/90, 59/816, 489/760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4/65, 58/90, 59/816, 489/760 i.e 1/3023280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/65, 58/90, 59/816, 489/760.
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 4/65,58/90,59/816,489/760?
Given fractions are 4/65,58/90,59/816,489/760
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 4/65,58/90,59/816,489/760, numerators are 4,58,59,489
Denominators are 65,90,816,760
The GCF of 4,58,59,489 is 1 .
LCM of 65,90,816,760 is 3023280.
The greatest common factor of 4/65,58/90,59/816,489/760 = [GCF of 4,58,59,489]/[LCM of 65,90,816,760]= 1/3023280
Therefore, the GCF of 4/65,58/90,59/816,489/760 is 1/3023280.
To find the highest common factor of 4,58,59,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 58 are 1, 2, 29, 58
The factors of 59 are 1, 59
The factors of 489 are 1, 3, 163, 489
The HCF of 4,58,59,489 is 1.
Lets's calculate GCF of 4,58,59,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4,58,59,489 By Matching Biggest Common Factor Method
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 59
:1,59
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 4,58,59,489 . The biggest common factor number is the GCF number.
So the greatest common factor 4,58,59,489 is 1.
Lets's calculate LCM of 65,90,816,760
| 2 | 65, 90, 816, 760 |
| 2 | 65, 45, 408, 380 |
| 2 | 65, 45, 204, 190 |
| 3 | 65, 45, 102, 95 |
| 5 | 65, 15, 34, 95 |
| 13, 3, 34, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 13 x 3 x 34 x 19 = 3023280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3023280
Therefore, the GCF of Fractions 4/65,58/90,59/816,489/760 is 1/3023280
Least Common Multiple of 65,90,816,760 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 65,90,816,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,90,816,760) = 1
common factors(in case of two or more numbers have common factors) = 1200
GCF(65,90,816,760) x common factors =1 x 1200 = 1200
LCM(65,90,816,760) = ( 65 × 90 × 816 × 760 ) / 1200
LCM(65,90,816,760) = 3627936000 / 1200
LCM(65,90,816,760) = 3023280
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4/65, 58/90, 59/816, 489/760
1. What is the HCF of 4,58,59,489?
The HCF of 4,58,59,489 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 4/65, 58/90, 59/816, 489/760?
Answer: GCF of Numerators as per given numbers 4/65, 58/90, 59/816, 489/760 is
GCF of Numerators i.e. for 4,58,59,489 is 1
LCM of denominators i.e. for 65,90,816,760 is 3023280.
Thus, GCF of Fractions is 1/3023280.Finally, GCF of Fractions for 4/65, 58/90, 59/816, 489/760 is 1/3023280.