GCF of 8156/667, 3840/4499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8156/667, 3840/4499 i.e 4/3000833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8156/667, 3840/4499.
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 8156/667,3840/4499?
Given fractions are 8156/667,3840/4499
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 8156/667,3840/4499, numerators are 8156,3840
Denominators are 667,4499
The GCF of 8156,3840 is 4 .
LCM of 667,4499 is 3000833.
The greatest common factor of 8156/667,3840/4499 = [GCF of 8156,3840]/[LCM of 667,4499]= 4/3000833
Therefore, the GCF of 8156/667,3840/4499 is 4/3000833.
To find the highest common factor of 8156,3840, we have to find the factors of both numbers and list the highest common factor.
The factors of 8156 are 1, 2, 4, 2039, 4078, 8156
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 HCF of 8156,3840 is 4.
Lets's calculate GCF of 8156,3840
| 2 | 8156, 3840 |
| 2 | 4078, 1920 |
| 2039, 960 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8156,3840 By Matching Biggest Common Factor Method
Now, list down the factors of 8156
:1,2,4,2039,4078,8156
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
Greatest Common Factor
We found the factors 8156,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 8156,3840 is 4.
Lets's calculate LCM of 667,4499
Given numbers has no common factors except 1. So, there LCM is their product i.e 3000833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3000833
Therefore, the GCF of Fractions 8156/667,3840/4499 is 4/3000833
Least Common Multiple of 667,4499 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 667,4499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,4499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,4499) x common factors =1 x 1 = 1
LCM(667,4499) = ( 667 × 4499 ) / 1
LCM(667,4499) = 3000833 / 1
LCM(667,4499) = 3000833
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FAQs on GCF of Fractions of 8156/667, 3840/4499
1. What is the HCF of 8156,3840?
The HCF of 8156,3840 is 4
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 8156/667, 3840/4499?
Answer: GCF of Numerators as per given numbers 8156/667, 3840/4499 is
GCF of Numerators i.e. for 8156,3840 is 4
LCM of denominators i.e. for 667,4499 is 3000833.
Thus, GCF of Fractions is 4/3000833.Finally, GCF of Fractions for 8156/667, 3840/4499 is 4/3000833.