GCF of 4656/920, 2240/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4656/920, 2240/667 i.e 16/26680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4656/920, 2240/667.
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 4656/920,2240/667?
Given fractions are 4656/920,2240/667
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 4656/920,2240/667, numerators are 4656,2240
Denominators are 920,667
The GCF of 4656,2240 is 16 .
LCM of 920,667 is 26680.
The greatest common factor of 4656/920,2240/667 = [GCF of 4656,2240]/[LCM of 920,667]= 16/26680
Therefore, the GCF of 4656/920,2240/667 is 16/26680.
To find the highest common factor of 4656,2240, we have to find the factors of both numbers and list the highest common factor.
The factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656
The factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240
The HCF of 4656,2240 is 16.
Lets's calculate GCF of 4656,2240
| 2 | 4656, 2240 |
| 2 | 2328, 1120 |
| 2 | 1164, 560 |
| 2 | 582, 280 |
| 291, 140 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4656,2240 By Matching Biggest Common Factor Method
Now, list down the factors of 4656
:1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656
Now, list down the factors of 2240
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240
Greatest Common Factor
We found the factors 4656,2240 . The biggest common factor number is the GCF number.
So the greatest common factor 4656,2240 is 16.
Lets's calculate LCM of 920,667
| 23 | 920, 667 |
| 40, 29 |
∴ So the LCM of the given numbers is 23 x 40 x 29 = 26680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/26680
Therefore, the GCF of Fractions 4656/920,2240/667 is 16/26680
Least Common Multiple of 920,667 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 920,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,667) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(920,667) x common factors =23 x 1 = 23
LCM(920,667) = ( 920 × 667 ) / 23
LCM(920,667) = 613640 / 23
LCM(920,667) = 26680
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4656/920, 2240/667
1. What is the HCF of 4656,2240?
The HCF of 4656,2240 is 16
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 4656/920, 2240/667?
Answer: GCF of Numerators as per given numbers 4656/920, 2240/667 is
GCF of Numerators i.e. for 4656,2240 is 16
LCM of denominators i.e. for 920,667 is 26680.
Thus, GCF of Fractions is 16/26680.Finally, GCF of Fractions for 4656/920, 2240/667 is 16/26680.