GCF of 3603/400, 3476/3206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3603/400, 3476/3206 i.e 1/641200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3603/400, 3476/3206.
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 3603/400,3476/3206?
Given fractions are 3603/400,3476/3206
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 3603/400,3476/3206, numerators are 3603,3476
Denominators are 400,3206
The GCF of 3603,3476 is 1 .
LCM of 400,3206 is 641200.
The greatest common factor of 3603/400,3476/3206 = [GCF of 3603,3476]/[LCM of 400,3206]= 1/641200
Therefore, the GCF of 3603/400,3476/3206 is 1/641200.
To find the highest common factor of 3603,3476, 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 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476
The HCF of 3603,3476 is 1.
Lets's calculate GCF of 3603,3476
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3603,3476 By Matching Biggest Common Factor Method
Now, list down the factors of 3603
:1,3,1201,3603
Now, list down the factors of 3476
:1,2,4,11,22,44,79,158,316,869,1738,3476
Greatest Common Factor
We found the factors 3603,3476 . The biggest common factor number is the GCF number.
So the greatest common factor 3603,3476 is 1.
Lets's calculate LCM of 400,3206
| 2 | 400, 3206 |
| 200, 1603 |
∴ So the LCM of the given numbers is 2 x 200 x 1603 = 641200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641200
Therefore, the GCF of Fractions 3603/400,3476/3206 is 1/641200
Least Common Multiple of 400,3206 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 400,3206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,3206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(400,3206) x common factors =2 x 1 = 2
LCM(400,3206) = ( 400 × 3206 ) / 2
LCM(400,3206) = 1282400 / 2
LCM(400,3206) = 641200
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FAQs on GCF of Fractions of 3603/400, 3476/3206
1. What is the HCF of 3603,3476?
The HCF of 3603,3476 is 1
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 3603/400, 3476/3206?
Answer: GCF of Numerators as per given numbers 3603/400, 3476/3206 is
GCF of Numerators i.e. for 3603,3476 is 1
LCM of denominators i.e. for 400,3206 is 641200.
Thus, GCF of Fractions is 1/641200.Finally, GCF of Fractions for 3603/400, 3476/3206 is 1/641200.