GCF of 435/217, 663/489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 435/217, 663/489 i.e 3/106113 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/217, 663/489.
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 435/217,663/489?
Given fractions are 435/217,663/489
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 435/217,663/489, numerators are 435,663
Denominators are 217,489
The GCF of 435,663 is 3 .
LCM of 217,489 is 106113.
The greatest common factor of 435/217,663/489 = [GCF of 435,663]/[LCM of 217,489]= 3/106113
Therefore, the GCF of 435/217,663/489 is 3/106113.
To find the highest common factor of 435,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 435,663 is 3.
Lets's calculate GCF of 435,663
| 3 | 435, 663 |
| 145, 221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 435,663 By Matching Biggest Common Factor Method
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 435,663 . The biggest common factor number is the GCF number.
So the greatest common factor 435,663 is 3.
Lets's calculate LCM of 217,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 106113
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/106113
Therefore, the GCF of Fractions 435/217,663/489 is 3/106113
Least Common Multiple of 217,489 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 217,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,489) x common factors =1 x 1 = 1
LCM(217,489) = ( 217 × 489 ) / 1
LCM(217,489) = 106113 / 1
LCM(217,489) = 106113
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 435/217, 663/489
1. What is the HCF of 435,663?
The HCF of 435,663 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 435/217, 663/489?
Answer: GCF of Numerators as per given numbers 435/217, 663/489 is
GCF of Numerators i.e. for 435,663 is 3
LCM of denominators i.e. for 217,489 is 106113.
Thus, GCF of Fractions is 3/106113.Finally, GCF of Fractions for 435/217, 663/489 is 3/106113.