GCF of 4600/902, 1320/2089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4600/902, 1320/2089 i.e 40/1884278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4600/902, 1320/2089.
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 4600/902,1320/2089?
Given fractions are 4600/902,1320/2089
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 4600/902,1320/2089, numerators are 4600,1320
Denominators are 902,2089
The GCF of 4600,1320 is 40 .
LCM of 902,2089 is 1884278.
The greatest common factor of 4600/902,1320/2089 = [GCF of 4600,1320]/[LCM of 902,2089]= 40/1884278
Therefore, the GCF of 4600/902,1320/2089 is 40/1884278.
To find the highest common factor of 4600,1320, we have to find the factors of both numbers and list the highest common factor.
The factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600
The factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320
The HCF of 4600,1320 is 40.
Lets's calculate GCF of 4600,1320
| 2 | 4600, 1320 |
| 2 | 2300, 660 |
| 2 | 1150, 330 |
| 5 | 575, 165 |
| 115, 33 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 4600,1320 By Matching Biggest Common Factor Method
Now, list down the factors of 4600
:1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600
Now, list down the factors of 1320
:1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320
Greatest Common Factor
We found the factors 4600,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 4600,1320 is 40.
Lets's calculate LCM of 902,2089
Given numbers has no common factors except 1. So, there LCM is their product i.e 1884278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/1884278
Therefore, the GCF of Fractions 4600/902,1320/2089 is 40/1884278
Least Common Multiple of 902,2089 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 902,2089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,2089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(902,2089) x common factors =1 x 1 = 1
LCM(902,2089) = ( 902 × 2089 ) / 1
LCM(902,2089) = 1884278 / 1
LCM(902,2089) = 1884278
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4600/902, 1320/2089
1. What is the HCF of 4600,1320?
The HCF of 4600,1320 is 40
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 4600/902, 1320/2089?
Answer: GCF of Numerators as per given numbers 4600/902, 1320/2089 is
GCF of Numerators i.e. for 4600,1320 is 40
LCM of denominators i.e. for 902,2089 is 1884278.
Thus, GCF of Fractions is 40/1884278.Finally, GCF of Fractions for 4600/902, 1320/2089 is 40/1884278.