GCF of 3946/418, 4320/645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3946/418, 4320/645 i.e 2/269610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3946/418, 4320/645.
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 3946/418,4320/645?
Given fractions are 3946/418,4320/645
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 3946/418,4320/645, numerators are 3946,4320
Denominators are 418,645
The GCF of 3946,4320 is 2 .
LCM of 418,645 is 269610.
The greatest common factor of 3946/418,4320/645 = [GCF of 3946,4320]/[LCM of 418,645]= 2/269610
Therefore, the GCF of 3946/418,4320/645 is 2/269610.
To find the highest common factor of 3946,4320, we have to find the factors of both numbers and list the highest common factor.
The factors of 3946 are 1, 2, 1973, 3946
The factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320
The HCF of 3946,4320 is 2.
Lets's calculate GCF of 3946,4320
| 2 | 3946, 4320 |
| 1973, 2160 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3946,4320 By Matching Biggest Common Factor Method
Now, list down the factors of 3946
:1,2,1973,3946
Now, list down the factors of 4320
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320
Greatest Common Factor
We found the factors 3946,4320 . The biggest common factor number is the GCF number.
So the greatest common factor 3946,4320 is 2.
Lets's calculate LCM of 418,645
Given numbers has no common factors except 1. So, there LCM is their product i.e 269610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/269610
Therefore, the GCF of Fractions 3946/418,4320/645 is 2/269610
Least Common Multiple of 418,645 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 418,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,645) x common factors =1 x 1 = 1
LCM(418,645) = ( 418 × 645 ) / 1
LCM(418,645) = 269610 / 1
LCM(418,645) = 269610
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FAQs on GCF of Fractions of 3946/418, 4320/645
1. What is the HCF of 3946,4320?
The HCF of 3946,4320 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 3946/418, 4320/645?
Answer: GCF of Numerators as per given numbers 3946/418, 4320/645 is
GCF of Numerators i.e. for 3946,4320 is 2
LCM of denominators i.e. for 418,645 is 269610.
Thus, GCF of Fractions is 2/269610.Finally, GCF of Fractions for 3946/418, 4320/645 is 2/269610.