GCF of 3202/606, 9270/3453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3202/606, 9270/3453 i.e 2/697506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3202/606, 9270/3453.
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 3202/606,9270/3453?
Given fractions are 3202/606,9270/3453
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 3202/606,9270/3453, numerators are 3202,9270
Denominators are 606,3453
The GCF of 3202,9270 is 2 .
LCM of 606,3453 is 697506.
The greatest common factor of 3202/606,9270/3453 = [GCF of 3202,9270]/[LCM of 606,3453]= 2/697506
Therefore, the GCF of 3202/606,9270/3453 is 2/697506.
To find the highest common factor of 3202,9270, we have to find the factors of both numbers and list the highest common factor.
The factors of 3202 are 1, 2, 1601, 3202
The factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270
The HCF of 3202,9270 is 2.
Lets's calculate GCF of 3202,9270
| 2 | 3202, 9270 |
| 1601, 4635 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3202,9270 By Matching Biggest Common Factor Method
Now, list down the factors of 3202
:1,2,1601,3202
Now, list down the factors of 9270
:1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270
Greatest Common Factor
We found the factors 3202,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 3202,9270 is 2.
Lets's calculate LCM of 606,3453
| 3 | 606, 3453 |
| 202, 1151 |
∴ So the LCM of the given numbers is 3 x 202 x 1151 = 697506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/697506
Therefore, the GCF of Fractions 3202/606,9270/3453 is 2/697506
Least Common Multiple of 606,3453 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 606,3453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,3453) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(606,3453) x common factors =3 x 1 = 3
LCM(606,3453) = ( 606 × 3453 ) / 3
LCM(606,3453) = 2092518 / 3
LCM(606,3453) = 697506
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FAQs on GCF of Fractions of 3202/606, 9270/3453
1. What is the HCF of 3202,9270?
The HCF of 3202,9270 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 3202/606, 9270/3453?
Answer: GCF of Numerators as per given numbers 3202/606, 9270/3453 is
GCF of Numerators i.e. for 3202,9270 is 2
LCM of denominators i.e. for 606,3453 is 697506.
Thus, GCF of Fractions is 2/697506.Finally, GCF of Fractions for 3202/606, 9270/3453 is 2/697506.