GCF of 1602/686, 1440/9108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1602/686, 1440/9108 i.e 18/3124044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1602/686, 1440/9108.
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 1602/686,1440/9108?
Given fractions are 1602/686,1440/9108
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 1602/686,1440/9108, numerators are 1602,1440
Denominators are 686,9108
The GCF of 1602,1440 is 18 .
LCM of 686,9108 is 3124044.
The greatest common factor of 1602/686,1440/9108 = [GCF of 1602,1440]/[LCM of 686,9108]= 18/3124044
Therefore, the GCF of 1602/686,1440/9108 is 18/3124044.
To find the highest common factor of 1602,1440, we have to find the factors of both numbers and list the highest common factor.
The factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602
The factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
The HCF of 1602,1440 is 18.
Lets's calculate GCF of 1602,1440
| 2 | 1602, 1440 |
| 3 | 801, 720 |
| 3 | 267, 240 |
| 89, 80 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 1602,1440 By Matching Biggest Common Factor Method
Now, list down the factors of 1602
:1,2,3,6,9,18,89,178,267,534,801,1602
Now, list down the factors of 1440
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Greatest Common Factor
We found the factors 1602,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 1602,1440 is 18.
Lets's calculate LCM of 686,9108
| 2 | 686, 9108 |
| 343, 4554 |
∴ So the LCM of the given numbers is 2 x 343 x 4554 = 3124044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/3124044
Therefore, the GCF of Fractions 1602/686,1440/9108 is 18/3124044
Least Common Multiple of 686,9108 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 686,9108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,9108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,9108) x common factors =2 x 1 = 2
LCM(686,9108) = ( 686 × 9108 ) / 2
LCM(686,9108) = 6248088 / 2
LCM(686,9108) = 3124044
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FAQs on GCF of Fractions of 1602/686, 1440/9108
1. What is the HCF of 1602,1440?
The HCF of 1602,1440 is 18
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 1602/686, 1440/9108?
Answer: GCF of Numerators as per given numbers 1602/686, 1440/9108 is
GCF of Numerators i.e. for 1602,1440 is 18
LCM of denominators i.e. for 686,9108 is 3124044.
Thus, GCF of Fractions is 18/3124044.Finally, GCF of Fractions for 1602/686, 1440/9108 is 18/3124044.