GCF of 8636/557, 3689/6226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8636/557, 3689/6226 i.e 17/3467882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8636/557, 3689/6226.
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 8636/557,3689/6226?
Given fractions are 8636/557,3689/6226
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 8636/557,3689/6226, numerators are 8636,3689
Denominators are 557,6226
The GCF of 8636,3689 is 17 .
LCM of 557,6226 is 3467882.
The greatest common factor of 8636/557,3689/6226 = [GCF of 8636,3689]/[LCM of 557,6226]= 17/3467882
Therefore, the GCF of 8636/557,3689/6226 is 17/3467882.
To find the highest common factor of 8636,3689, we have to find the factors of both numbers and list the highest common factor.
The factors of 8636 are 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636
The factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689
The HCF of 8636,3689 is 17.
Lets's calculate GCF of 8636,3689
| 17 | 8636, 3689 |
| 508, 217 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8636,3689 By Matching Biggest Common Factor Method
Now, list down the factors of 8636
:1,2,4,17,34,68,127,254,508,2159,4318,8636
Now, list down the factors of 3689
:1,7,17,31,119,217,527,3689
Greatest Common Factor
We found the factors 8636,3689 . The biggest common factor number is the GCF number.
So the greatest common factor 8636,3689 is 17.
Lets's calculate LCM of 557,6226
Given numbers has no common factors except 1. So, there LCM is their product i.e 3467882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3467882
Therefore, the GCF of Fractions 8636/557,3689/6226 is 17/3467882
Least Common Multiple of 557,6226 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 557,6226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,6226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,6226) x common factors =1 x 1 = 1
LCM(557,6226) = ( 557 × 6226 ) / 1
LCM(557,6226) = 3467882 / 1
LCM(557,6226) = 3467882
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FAQs on GCF of Fractions of 8636/557, 3689/6226
1. What is the HCF of 8636,3689?
The HCF of 8636,3689 is 17
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 8636/557, 3689/6226?
Answer: GCF of Numerators as per given numbers 8636/557, 3689/6226 is
GCF of Numerators i.e. for 8636,3689 is 17
LCM of denominators i.e. for 557,6226 is 3467882.
Thus, GCF of Fractions is 17/3467882.Finally, GCF of Fractions for 8636/557, 3689/6226 is 17/3467882.