GCF of 1701/225, 4284/3705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1701/225, 4284/3705 i.e 63/55575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1701/225, 4284/3705.
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 1701/225,4284/3705?
Given fractions are 1701/225,4284/3705
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 1701/225,4284/3705, numerators are 1701,4284
Denominators are 225,3705
The GCF of 1701,4284 is 63 .
LCM of 225,3705 is 55575.
The greatest common factor of 1701/225,4284/3705 = [GCF of 1701,4284]/[LCM of 225,3705]= 63/55575
Therefore, the GCF of 1701/225,4284/3705 is 63/55575.
To find the highest common factor of 1701,4284, we have to find the factors of both numbers and list the highest common factor.
The factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701
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 1701,4284 is 63.
Lets's calculate GCF of 1701,4284
| 3 | 1701, 4284 |
| 3 | 567, 1428 |
| 7 | 189, 476 |
| 27, 68 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 1701,4284 By Matching Biggest Common Factor Method
Now, list down the factors of 1701
:1,3,7,9,21,27,63,81,189,243,567,1701
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 1701,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 1701,4284 is 63.
Lets's calculate LCM of 225,3705
| 3 | 225, 3705 |
| 5 | 75, 1235 |
| 15, 247 |
∴ So the LCM of the given numbers is 3 x 5 x 15 x 247 = 55575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/55575
Therefore, the GCF of Fractions 1701/225,4284/3705 is 63/55575
Least Common Multiple of 225,3705 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 225,3705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,3705) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(225,3705) x common factors =15 x 1 = 15
LCM(225,3705) = ( 225 × 3705 ) / 15
LCM(225,3705) = 833625 / 15
LCM(225,3705) = 55575
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FAQs on GCF of Fractions of 1701/225, 4284/3705
1. What is the HCF of 1701,4284?
The HCF of 1701,4284 is 63
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 1701/225, 4284/3705?
Answer: GCF of Numerators as per given numbers 1701/225, 4284/3705 is
GCF of Numerators i.e. for 1701,4284 is 63
LCM of denominators i.e. for 225,3705 is 55575.
Thus, GCF of Fractions is 63/55575.Finally, GCF of Fractions for 1701/225, 4284/3705 is 63/55575.