GCF of 3066/412, 3578/4701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3066/412, 3578/4701 i.e 2/1936812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3066/412, 3578/4701.
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 3066/412,3578/4701?
Given fractions are 3066/412,3578/4701
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 3066/412,3578/4701, numerators are 3066,3578
Denominators are 412,4701
The GCF of 3066,3578 is 2 .
LCM of 412,4701 is 1936812.
The greatest common factor of 3066/412,3578/4701 = [GCF of 3066,3578]/[LCM of 412,4701]= 2/1936812
Therefore, the GCF of 3066/412,3578/4701 is 2/1936812.
To find the highest common factor of 3066,3578, we have to find the factors of both numbers and list the highest common factor.
The factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066
The factors of 3578 are 1, 2, 1789, 3578
The HCF of 3066,3578 is 2.
Lets's calculate GCF of 3066,3578
| 2 | 3066, 3578 |
| 1533, 1789 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3066,3578 By Matching Biggest Common Factor Method
Now, list down the factors of 3066
:1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066
Now, list down the factors of 3578
:1,2,1789,3578
Greatest Common Factor
We found the factors 3066,3578 . The biggest common factor number is the GCF number.
So the greatest common factor 3066,3578 is 2.
Lets's calculate LCM of 412,4701
Given numbers has no common factors except 1. So, there LCM is their product i.e 1936812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1936812
Therefore, the GCF of Fractions 3066/412,3578/4701 is 2/1936812
Least Common Multiple of 412,4701 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 412,4701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,4701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,4701) x common factors =1 x 1 = 1
LCM(412,4701) = ( 412 × 4701 ) / 1
LCM(412,4701) = 1936812 / 1
LCM(412,4701) = 1936812
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FAQs on GCF of Fractions of 3066/412, 3578/4701
1. What is the HCF of 3066,3578?
The HCF of 3066,3578 is 2
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 3066/412, 3578/4701?
Answer: GCF of Numerators as per given numbers 3066/412, 3578/4701 is
GCF of Numerators i.e. for 3066,3578 is 2
LCM of denominators i.e. for 412,4701 is 1936812.
Thus, GCF of Fractions is 2/1936812.Finally, GCF of Fractions for 3066/412, 3578/4701 is 2/1936812.