GCF of 3206/946, 9003/7036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3206/946, 9003/7036 i.e 1/3328028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3206/946, 9003/7036.
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 3206/946,9003/7036?
Given fractions are 3206/946,9003/7036
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 3206/946,9003/7036, numerators are 3206,9003
Denominators are 946,7036
The GCF of 3206,9003 is 1 .
LCM of 946,7036 is 3328028.
The greatest common factor of 3206/946,9003/7036 = [GCF of 3206,9003]/[LCM of 946,7036]= 1/3328028
Therefore, the GCF of 3206/946,9003/7036 is 1/3328028.
To find the highest common factor of 3206,9003, we have to find the factors of both numbers and list the highest common factor.
The factors of 3206 are 1, 2, 7, 14, 229, 458, 1603, 3206
The factors of 9003 are 1, 3, 3001, 9003
The HCF of 3206,9003 is 1.
Lets's calculate GCF of 3206,9003
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3206,9003 By Matching Biggest Common Factor Method
Now, list down the factors of 3206
:1,2,7,14,229,458,1603,3206
Now, list down the factors of 9003
:1,3,3001,9003
Greatest Common Factor
We found the factors 3206,9003 . The biggest common factor number is the GCF number.
So the greatest common factor 3206,9003 is 1.
Lets's calculate LCM of 946,7036
| 2 | 946, 7036 |
| 473, 3518 |
∴ So the LCM of the given numbers is 2 x 473 x 3518 = 3328028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3328028
Therefore, the GCF of Fractions 3206/946,9003/7036 is 1/3328028
Least Common Multiple of 946,7036 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 946,7036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,7036) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,7036) x common factors =2 x 1 = 2
LCM(946,7036) = ( 946 × 7036 ) / 2
LCM(946,7036) = 6656056 / 2
LCM(946,7036) = 3328028
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FAQs on GCF of Fractions of 3206/946, 9003/7036
1. What is the HCF of 3206,9003?
The HCF of 3206,9003 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 3206/946, 9003/7036?
Answer: GCF of Numerators as per given numbers 3206/946, 9003/7036 is
GCF of Numerators i.e. for 3206,9003 is 1
LCM of denominators i.e. for 946,7036 is 3328028.
Thus, GCF of Fractions is 1/3328028.Finally, GCF of Fractions for 3206/946, 9003/7036 is 1/3328028.