GCF of 3594/474, 3405/140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3594/474, 3405/140 i.e 3/33180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3594/474, 3405/140.
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 3594/474,3405/140?
Given fractions are 3594/474,3405/140
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 3594/474,3405/140, numerators are 3594,3405
Denominators are 474,140
The GCF of 3594,3405 is 3 .
LCM of 474,140 is 33180.
The greatest common factor of 3594/474,3405/140 = [GCF of 3594,3405]/[LCM of 474,140]= 3/33180
Therefore, the GCF of 3594/474,3405/140 is 3/33180.
To find the highest common factor of 3594,3405, we have to find the factors of both numbers and list the highest common factor.
The factors of 3594 are 1, 2, 3, 6, 599, 1198, 1797, 3594
The factors of 3405 are 1, 3, 5, 15, 227, 681, 1135, 3405
The HCF of 3594,3405 is 3.
Lets's calculate GCF of 3594,3405
| 3 | 3594, 3405 |
| 1198, 1135 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3594,3405 By Matching Biggest Common Factor Method
Now, list down the factors of 3594
:1,2,3,6,599,1198,1797,3594
Now, list down the factors of 3405
:1,3,5,15,227,681,1135,3405
Greatest Common Factor
We found the factors 3594,3405 . The biggest common factor number is the GCF number.
So the greatest common factor 3594,3405 is 3.
Lets's calculate LCM of 474,140
| 2 | 474, 140 |
| 237, 70 |
∴ So the LCM of the given numbers is 2 x 237 x 70 = 33180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33180
Therefore, the GCF of Fractions 3594/474,3405/140 is 3/33180
Least Common Multiple of 474,140 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 474,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,140) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,140) x common factors =2 x 1 = 2
LCM(474,140) = ( 474 × 140 ) / 2
LCM(474,140) = 66360 / 2
LCM(474,140) = 33180
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FAQs on GCF of Fractions of 3594/474, 3405/140
1. What is the HCF of 3594,3405?
The HCF of 3594,3405 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 3594/474, 3405/140?
Answer: GCF of Numerators as per given numbers 3594/474, 3405/140 is
GCF of Numerators i.e. for 3594,3405 is 3
LCM of denominators i.e. for 474,140 is 33180.
Thus, GCF of Fractions is 3/33180.Finally, GCF of Fractions for 3594/474, 3405/140 is 3/33180.