GCF of 1413/972, 2880/8500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1413/972, 2880/8500 i.e 9/2065500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1413/972, 2880/8500.
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 1413/972,2880/8500?
Given fractions are 1413/972,2880/8500
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 1413/972,2880/8500, numerators are 1413,2880
Denominators are 972,8500
The GCF of 1413,2880 is 9 .
LCM of 972,8500 is 2065500.
The greatest common factor of 1413/972,2880/8500 = [GCF of 1413,2880]/[LCM of 972,8500]= 9/2065500
Therefore, the GCF of 1413/972,2880/8500 is 9/2065500.
To find the highest common factor of 1413,2880, we have to find the factors of both numbers and list the highest common factor.
The factors of 1413 are 1, 3, 9, 157, 471, 1413
The factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880
The HCF of 1413,2880 is 9.
Lets's calculate GCF of 1413,2880
| 3 | 1413, 2880 |
| 3 | 471, 960 |
| 157, 320 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1413,2880 By Matching Biggest Common Factor Method
Now, list down the factors of 1413
:1,3,9,157,471,1413
Now, list down the factors of 2880
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880
Greatest Common Factor
We found the factors 1413,2880 . The biggest common factor number is the GCF number.
So the greatest common factor 1413,2880 is 9.
Lets's calculate LCM of 972,8500
| 2 | 972, 8500 |
| 2 | 486, 4250 |
| 243, 2125 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 2125 = 2065500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2065500
Therefore, the GCF of Fractions 1413/972,2880/8500 is 9/2065500
Least Common Multiple of 972,8500 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 972,8500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,8500) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,8500) x common factors =4 x 1 = 4
LCM(972,8500) = ( 972 × 8500 ) / 4
LCM(972,8500) = 8262000 / 4
LCM(972,8500) = 2065500
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FAQs on GCF of Fractions of 1413/972, 2880/8500
1. What is the HCF of 1413,2880?
The HCF of 1413,2880 is 9
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 1413/972, 2880/8500?
Answer: GCF of Numerators as per given numbers 1413/972, 2880/8500 is
GCF of Numerators i.e. for 1413,2880 is 9
LCM of denominators i.e. for 972,8500 is 2065500.
Thus, GCF of Fractions is 9/2065500.Finally, GCF of Fractions for 1413/972, 2880/8500 is 9/2065500.