GCF of 3566/628, 8282/6563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3566/628, 8282/6563 i.e 2/4121564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3566/628, 8282/6563.
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 3566/628,8282/6563?
Given fractions are 3566/628,8282/6563
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 3566/628,8282/6563, numerators are 3566,8282
Denominators are 628,6563
The GCF of 3566,8282 is 2 .
LCM of 628,6563 is 4121564.
The greatest common factor of 3566/628,8282/6563 = [GCF of 3566,8282]/[LCM of 628,6563]= 2/4121564
Therefore, the GCF of 3566/628,8282/6563 is 2/4121564.
To find the highest common factor of 3566,8282, we have to find the factors of both numbers and list the highest common factor.
The factors of 3566 are 1, 2, 1783, 3566
The factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282
The HCF of 3566,8282 is 2.
Lets's calculate GCF of 3566,8282
| 2 | 3566, 8282 |
| 1783, 4141 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3566,8282 By Matching Biggest Common Factor Method
Now, list down the factors of 3566
:1,2,1783,3566
Now, list down the factors of 8282
:1,2,41,82,101,202,4141,8282
Greatest Common Factor
We found the factors 3566,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 3566,8282 is 2.
Lets's calculate LCM of 628,6563
Given numbers has no common factors except 1. So, there LCM is their product i.e 4121564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4121564
Therefore, the GCF of Fractions 3566/628,8282/6563 is 2/4121564
Least Common Multiple of 628,6563 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 628,6563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,6563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,6563) x common factors =1 x 1 = 1
LCM(628,6563) = ( 628 × 6563 ) / 1
LCM(628,6563) = 4121564 / 1
LCM(628,6563) = 4121564
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FAQs on GCF of Fractions of 3566/628, 8282/6563
1. What is the HCF of 3566,8282?
The HCF of 3566,8282 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 3566/628, 8282/6563?
Answer: GCF of Numerators as per given numbers 3566/628, 8282/6563 is
GCF of Numerators i.e. for 3566,8282 is 2
LCM of denominators i.e. for 628,6563 is 4121564.
Thus, GCF of Fractions is 2/4121564.Finally, GCF of Fractions for 3566/628, 8282/6563 is 2/4121564.