GCF of 3840/516, 2696/9321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3840/516, 2696/9321 i.e 8/1603212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3840/516, 2696/9321.
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 3840/516,2696/9321?
Given fractions are 3840/516,2696/9321
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 3840/516,2696/9321, numerators are 3840,2696
Denominators are 516,9321
The GCF of 3840,2696 is 8 .
LCM of 516,9321 is 1603212.
The greatest common factor of 3840/516,2696/9321 = [GCF of 3840,2696]/[LCM of 516,9321]= 8/1603212
Therefore, the GCF of 3840/516,2696/9321 is 8/1603212.
To find the highest common factor of 3840,2696, we have to find the factors of both numbers and list the highest common factor.
The factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840
The factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696
The HCF of 3840,2696 is 8.
Lets's calculate GCF of 3840,2696
| 2 | 3840, 2696 |
| 2 | 1920, 1348 |
| 2 | 960, 674 |
| 480, 337 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3840,2696 By Matching Biggest Common Factor Method
Now, list down the factors of 3840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Now, list down the factors of 2696
:1,2,4,8,337,674,1348,2696
Greatest Common Factor
We found the factors 3840,2696 . The biggest common factor number is the GCF number.
So the greatest common factor 3840,2696 is 8.
Lets's calculate LCM of 516,9321
| 3 | 516, 9321 |
| 172, 3107 |
∴ So the LCM of the given numbers is 3 x 172 x 3107 = 1603212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1603212
Therefore, the GCF of Fractions 3840/516,2696/9321 is 8/1603212
Least Common Multiple of 516,9321 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 516,9321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,9321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(516,9321) x common factors =3 x 1 = 3
LCM(516,9321) = ( 516 × 9321 ) / 3
LCM(516,9321) = 4809636 / 3
LCM(516,9321) = 1603212
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FAQs on GCF of Fractions of 3840/516, 2696/9321
1. What is the HCF of 3840,2696?
The HCF of 3840,2696 is 8
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 3840/516, 2696/9321?
Answer: GCF of Numerators as per given numbers 3840/516, 2696/9321 is
GCF of Numerators i.e. for 3840,2696 is 8
LCM of denominators i.e. for 516,9321 is 1603212.
Thus, GCF of Fractions is 8/1603212.Finally, GCF of Fractions for 3840/516, 2696/9321 is 8/1603212.