GCF of 4657/454, 9683/6706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4657/454, 9683/6706 i.e 1/1522262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4657/454, 9683/6706.
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 4657/454,9683/6706?
Given fractions are 4657/454,9683/6706
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 4657/454,9683/6706, numerators are 4657,9683
Denominators are 454,6706
The GCF of 4657,9683 is 1 .
LCM of 454,6706 is 1522262.
The greatest common factor of 4657/454,9683/6706 = [GCF of 4657,9683]/[LCM of 454,6706]= 1/1522262
Therefore, the GCF of 4657/454,9683/6706 is 1/1522262.
To find the highest common factor of 4657,9683, we have to find the factors of both numbers and list the highest common factor.
The factors of 4657 are 1, 4657
The factors of 9683 are 1, 23, 421, 9683
The HCF of 4657,9683 is 1.
Lets's calculate GCF of 4657,9683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4657,9683 By Matching Biggest Common Factor Method
Now, list down the factors of 4657
:1,4657
Now, list down the factors of 9683
:1,23,421,9683
Greatest Common Factor
We found the factors 4657,9683 . The biggest common factor number is the GCF number.
So the greatest common factor 4657,9683 is 1.
Lets's calculate LCM of 454,6706
| 2 | 454, 6706 |
| 227, 3353 |
∴ So the LCM of the given numbers is 2 x 227 x 3353 = 1522262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1522262
Therefore, the GCF of Fractions 4657/454,9683/6706 is 1/1522262
Least Common Multiple of 454,6706 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 454,6706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,6706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,6706) x common factors =2 x 1 = 2
LCM(454,6706) = ( 454 × 6706 ) / 2
LCM(454,6706) = 3044524 / 2
LCM(454,6706) = 1522262
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4657/454, 9683/6706
1. What is the HCF of 4657,9683?
The HCF of 4657,9683 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 4657/454, 9683/6706?
Answer: GCF of Numerators as per given numbers 4657/454, 9683/6706 is
GCF of Numerators i.e. for 4657,9683 is 1
LCM of denominators i.e. for 454,6706 is 1522262.
Thus, GCF of Fractions is 1/1522262.Finally, GCF of Fractions for 4657/454, 9683/6706 is 1/1522262.