GCF of 231/645, 4480/1644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 231/645, 4480/1644 i.e 7/353460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 231/645, 4480/1644.
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 231/645,4480/1644?
Given fractions are 231/645,4480/1644
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 231/645,4480/1644, numerators are 231,4480
Denominators are 645,1644
The GCF of 231,4480 is 7 .
LCM of 645,1644 is 353460.
The greatest common factor of 231/645,4480/1644 = [GCF of 231,4480]/[LCM of 645,1644]= 7/353460
Therefore, the GCF of 231/645,4480/1644 is 7/353460.
To find the highest common factor of 231,4480, we have to find the factors of both numbers and list the highest common factor.
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480
The HCF of 231,4480 is 7.
Lets's calculate GCF of 231,4480
| 7 | 231, 4480 |
| 33, 640 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 231,4480 By Matching Biggest Common Factor Method
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Now, list down the factors of 4480
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480
Greatest Common Factor
We found the factors 231,4480 . The biggest common factor number is the GCF number.
So the greatest common factor 231,4480 is 7.
Lets's calculate LCM of 645,1644
| 3 | 645, 1644 |
| 215, 548 |
∴ So the LCM of the given numbers is 3 x 215 x 548 = 353460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/353460
Therefore, the GCF of Fractions 231/645,4480/1644 is 7/353460
Least Common Multiple of 645,1644 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 645,1644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,1644) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(645,1644) x common factors =3 x 1 = 3
LCM(645,1644) = ( 645 × 1644 ) / 3
LCM(645,1644) = 1060380 / 3
LCM(645,1644) = 353460
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 231/645, 4480/1644
1. What is the HCF of 231,4480?
The HCF of 231,4480 is 7
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 231/645, 4480/1644?
Answer: GCF of Numerators as per given numbers 231/645, 4480/1644 is
GCF of Numerators i.e. for 231,4480 is 7
LCM of denominators i.e. for 645,1644 is 353460.
Thus, GCF of Fractions is 7/353460.Finally, GCF of Fractions for 231/645, 4480/1644 is 7/353460.