GCF of 3723/204, 5352/5205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3723/204, 5352/5205 i.e 3/353940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3723/204, 5352/5205.
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 3723/204,5352/5205?
Given fractions are 3723/204,5352/5205
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 3723/204,5352/5205, numerators are 3723,5352
Denominators are 204,5205
The GCF of 3723,5352 is 3 .
LCM of 204,5205 is 353940.
The greatest common factor of 3723/204,5352/5205 = [GCF of 3723,5352]/[LCM of 204,5205]= 3/353940
Therefore, the GCF of 3723/204,5352/5205 is 3/353940.
To find the highest common factor of 3723,5352, we have to find the factors of both numbers and list the highest common factor.
The factors of 3723 are 1, 3, 17, 51, 73, 219, 1241, 3723
The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352
The HCF of 3723,5352 is 3.
Lets's calculate GCF of 3723,5352
| 3 | 3723, 5352 |
| 1241, 1784 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3723,5352 By Matching Biggest Common Factor Method
Now, list down the factors of 3723
:1,3,17,51,73,219,1241,3723
Now, list down the factors of 5352
:1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352
Greatest Common Factor
We found the factors 3723,5352 . The biggest common factor number is the GCF number.
So the greatest common factor 3723,5352 is 3.
Lets's calculate LCM of 204,5205
| 3 | 204, 5205 |
| 68, 1735 |
∴ So the LCM of the given numbers is 3 x 68 x 1735 = 353940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/353940
Therefore, the GCF of Fractions 3723/204,5352/5205 is 3/353940
Least Common Multiple of 204,5205 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 204,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,5205) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,5205) x common factors =3 x 1 = 3
LCM(204,5205) = ( 204 × 5205 ) / 3
LCM(204,5205) = 1061820 / 3
LCM(204,5205) = 353940
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FAQs on GCF of Fractions of 3723/204, 5352/5205
1. What is the HCF of 3723,5352?
The HCF of 3723,5352 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 3723/204, 5352/5205?
Answer: GCF of Numerators as per given numbers 3723/204, 5352/5205 is
GCF of Numerators i.e. for 3723,5352 is 3
LCM of denominators i.e. for 204,5205 is 353940.
Thus, GCF of Fractions is 3/353940.Finally, GCF of Fractions for 3723/204, 5352/5205 is 3/353940.