GCF of 3232/333, 1648/9770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3232/333, 1648/9770 i.e 16/3253410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3232/333, 1648/9770.
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 3232/333,1648/9770?
Given fractions are 3232/333,1648/9770
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 3232/333,1648/9770, numerators are 3232,1648
Denominators are 333,9770
The GCF of 3232,1648 is 16 .
LCM of 333,9770 is 3253410.
The greatest common factor of 3232/333,1648/9770 = [GCF of 3232,1648]/[LCM of 333,9770]= 16/3253410
Therefore, the GCF of 3232/333,1648/9770 is 16/3253410.
To find the highest common factor of 3232,1648, we have to find the factors of both numbers and list the highest common factor.
The factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232
The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648
The HCF of 3232,1648 is 16.
Lets's calculate GCF of 3232,1648
| 2 | 3232, 1648 |
| 2 | 1616, 824 |
| 2 | 808, 412 |
| 2 | 404, 206 |
| 202, 103 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3232,1648 By Matching Biggest Common Factor Method
Now, list down the factors of 3232
:1,2,4,8,16,32,101,202,404,808,1616,3232
Now, list down the factors of 1648
:1,2,4,8,16,103,206,412,824,1648
Greatest Common Factor
We found the factors 3232,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 3232,1648 is 16.
Lets's calculate LCM of 333,9770
Given numbers has no common factors except 1. So, there LCM is their product i.e 3253410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3253410
Therefore, the GCF of Fractions 3232/333,1648/9770 is 16/3253410
Least Common Multiple of 333,9770 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 333,9770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,9770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,9770) x common factors =1 x 1 = 1
LCM(333,9770) = ( 333 × 9770 ) / 1
LCM(333,9770) = 3253410 / 1
LCM(333,9770) = 3253410
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FAQs on GCF of Fractions of 3232/333, 1648/9770
1. What is the HCF of 3232,1648?
The HCF of 3232,1648 is 16
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 3232/333, 1648/9770?
Answer: GCF of Numerators as per given numbers 3232/333, 1648/9770 is
GCF of Numerators i.e. for 3232,1648 is 16
LCM of denominators i.e. for 333,9770 is 3253410.
Thus, GCF of Fractions is 16/3253410.Finally, GCF of Fractions for 3232/333, 1648/9770 is 16/3253410.