GCF of 6254/402, 3840/6893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6254/402, 3840/6893 i.e 2/2770986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6254/402, 3840/6893.
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 6254/402,3840/6893?
Given fractions are 6254/402,3840/6893
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 6254/402,3840/6893, numerators are 6254,3840
Denominators are 402,6893
The GCF of 6254,3840 is 2 .
LCM of 402,6893 is 2770986.
The greatest common factor of 6254/402,3840/6893 = [GCF of 6254,3840]/[LCM of 402,6893]= 2/2770986
Therefore, the GCF of 6254/402,3840/6893 is 2/2770986.
To find the highest common factor of 6254,3840, we have to find the factors of both numbers and list the highest common factor.
The factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254
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 6254,3840 is 2.
Lets's calculate GCF of 6254,3840
| 2 | 6254, 3840 |
| 3127, 1920 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6254,3840 By Matching Biggest Common Factor Method
Now, list down the factors of 6254
:1,2,53,59,106,118,3127,6254
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 6254,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 6254,3840 is 2.
Lets's calculate LCM of 402,6893
Given numbers has no common factors except 1. So, there LCM is their product i.e 2770986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2770986
Therefore, the GCF of Fractions 6254/402,3840/6893 is 2/2770986
Least Common Multiple of 402,6893 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 402,6893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,6893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,6893) x common factors =1 x 1 = 1
LCM(402,6893) = ( 402 × 6893 ) / 1
LCM(402,6893) = 2770986 / 1
LCM(402,6893) = 2770986
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FAQs on GCF of Fractions of 6254/402, 3840/6893
1. What is the HCF of 6254,3840?
The HCF of 6254,3840 is 2
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 6254/402, 3840/6893?
Answer: GCF of Numerators as per given numbers 6254/402, 3840/6893 is
GCF of Numerators i.e. for 6254,3840 is 2
LCM of denominators i.e. for 402,6893 is 2770986.
Thus, GCF of Fractions is 2/2770986.Finally, GCF of Fractions for 6254/402, 3840/6893 is 2/2770986.