GCF of 3603/461, 4284/3768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3603/461, 4284/3768 i.e 3/1737048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3603/461, 4284/3768.
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 3603/461,4284/3768?
Given fractions are 3603/461,4284/3768
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 3603/461,4284/3768, numerators are 3603,4284
Denominators are 461,3768
The GCF of 3603,4284 is 3 .
LCM of 461,3768 is 1737048.
The greatest common factor of 3603/461,4284/3768 = [GCF of 3603,4284]/[LCM of 461,3768]= 3/1737048
Therefore, the GCF of 3603/461,4284/3768 is 3/1737048.
To find the highest common factor of 3603,4284, we have to find the factors of both numbers and list the highest common factor.
The factors of 3603 are 1, 3, 1201, 3603
The factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284
The HCF of 3603,4284 is 3.
Lets's calculate GCF of 3603,4284
| 3 | 3603, 4284 |
| 1201, 1428 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3603,4284 By Matching Biggest Common Factor Method
Now, list down the factors of 3603
:1,3,1201,3603
Now, list down the factors of 4284
:1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284
Greatest Common Factor
We found the factors 3603,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 3603,4284 is 3.
Lets's calculate LCM of 461,3768
Given numbers has no common factors except 1. So, there LCM is their product i.e 1737048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1737048
Therefore, the GCF of Fractions 3603/461,4284/3768 is 3/1737048
Least Common Multiple of 461,3768 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 461,3768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,3768) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,3768) x common factors =1 x 1 = 1
LCM(461,3768) = ( 461 × 3768 ) / 1
LCM(461,3768) = 1737048 / 1
LCM(461,3768) = 1737048
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FAQs on GCF of Fractions of 3603/461, 4284/3768
1. What is the HCF of 3603,4284?
The HCF of 3603,4284 is 3
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 3603/461, 4284/3768?
Answer: GCF of Numerators as per given numbers 3603/461, 4284/3768 is
GCF of Numerators i.e. for 3603,4284 is 3
LCM of denominators i.e. for 461,3768 is 1737048.
Thus, GCF of Fractions is 3/1737048.Finally, GCF of Fractions for 3603/461, 4284/3768 is 3/1737048.