GCF of 731/65, 500/91, 656/89
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 731/65, 500/91, 656/89 i.e 1/40495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/65, 500/91, 656/89.
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 731/65,500/91,656/89?
Given fractions are 731/65,500/91,656/89
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 731/65,500/91,656/89, numerators are 731,500,656
Denominators are 65,91,89
The GCF of 731,500,656 is 1 .
LCM of 65,91,89 is 40495.
The greatest common factor of 731/65,500/91,656/89 = [GCF of 731,500,656]/[LCM of 65,91,89]= 1/40495
Therefore, the GCF of 731/65,500/91,656/89 is 1/40495.
To find the highest common factor of 731,500,656, we have to find the factors of both numbers and list the highest common factor.
The factors of 731 are 1, 17, 43, 731
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 731,500,656 is 1.
Lets's calculate GCF of 731,500,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 731,500,656 By Matching Biggest Common Factor Method
Now, list down the factors of 731
:1,17,43,731
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 731,500,656 . The biggest common factor number is the GCF number.
So the greatest common factor 731,500,656 is 1.
Lets's calculate LCM of 65,91,89
| 13 | 65, 91, 89 |
| 5, 7, 89 |
∴ So the LCM of the given numbers is 13 x 5 x 7 x 89 = 40495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40495
Therefore, the GCF of Fractions 731/65,500/91,656/89 is 1/40495
Least Common Multiple of 65,91,89 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 65,91,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,91,89) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(65,91,89) x common factors =1 x 13 = 13
LCM(65,91,89) = ( 65 × 91 × 89 ) / 13
LCM(65,91,89) = 526435 / 13
LCM(65,91,89) = 40495
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 731/65, 500/91, 656/89
1. What is the HCF of 731,500,656?
The HCF of 731,500,656 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 731/65, 500/91, 656/89?
Answer: GCF of Numerators as per given numbers 731/65, 500/91, 656/89 is
GCF of Numerators i.e. for 731,500,656 is 1
LCM of denominators i.e. for 65,91,89 is 40495.
Thus, GCF of Fractions is 1/40495.Finally, GCF of Fractions for 731/65, 500/91, 656/89 is 1/40495.