GCF of 3284/816, 7012/2043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3284/816, 7012/2043 i.e 4/555696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3284/816, 7012/2043.
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 3284/816,7012/2043?
Given fractions are 3284/816,7012/2043
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 3284/816,7012/2043, numerators are 3284,7012
Denominators are 816,2043
The GCF of 3284,7012 is 4 .
LCM of 816,2043 is 555696.
The greatest common factor of 3284/816,7012/2043 = [GCF of 3284,7012]/[LCM of 816,2043]= 4/555696
Therefore, the GCF of 3284/816,7012/2043 is 4/555696.
To find the highest common factor of 3284,7012, we have to find the factors of both numbers and list the highest common factor.
The factors of 3284 are 1, 2, 4, 821, 1642, 3284
The factors of 7012 are 1, 2, 4, 1753, 3506, 7012
The HCF of 3284,7012 is 4.
Lets's calculate GCF of 3284,7012
| 2 | 3284, 7012 |
| 2 | 1642, 3506 |
| 821, 1753 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3284,7012 By Matching Biggest Common Factor Method
Now, list down the factors of 3284
:1,2,4,821,1642,3284
Now, list down the factors of 7012
:1,2,4,1753,3506,7012
Greatest Common Factor
We found the factors 3284,7012 . The biggest common factor number is the GCF number.
So the greatest common factor 3284,7012 is 4.
Lets's calculate LCM of 816,2043
| 3 | 816, 2043 |
| 272, 681 |
∴ So the LCM of the given numbers is 3 x 272 x 681 = 555696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/555696
Therefore, the GCF of Fractions 3284/816,7012/2043 is 4/555696
Least Common Multiple of 816,2043 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 816,2043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,2043) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(816,2043) x common factors =3 x 1 = 3
LCM(816,2043) = ( 816 × 2043 ) / 3
LCM(816,2043) = 1667088 / 3
LCM(816,2043) = 555696
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FAQs on GCF of Fractions of 3284/816, 7012/2043
1. What is the HCF of 3284,7012?
The HCF of 3284,7012 is 4
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 3284/816, 7012/2043?
Answer: GCF of Numerators as per given numbers 3284/816, 7012/2043 is
GCF of Numerators i.e. for 3284,7012 is 4
LCM of denominators i.e. for 816,2043 is 555696.
Thus, GCF of Fractions is 4/555696.Finally, GCF of Fractions for 3284/816, 7012/2043 is 4/555696.