GCF of 2828/457, 8622/4396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2828/457, 8622/4396 i.e 2/2008972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2828/457, 8622/4396.
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 2828/457,8622/4396?
Given fractions are 2828/457,8622/4396
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 2828/457,8622/4396, numerators are 2828,8622
Denominators are 457,4396
The GCF of 2828,8622 is 2 .
LCM of 457,4396 is 2008972.
The greatest common factor of 2828/457,8622/4396 = [GCF of 2828,8622]/[LCM of 457,4396]= 2/2008972
Therefore, the GCF of 2828/457,8622/4396 is 2/2008972.
To find the highest common factor of 2828,8622, we have to find the factors of both numbers and list the highest common factor.
The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828
The factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622
The HCF of 2828,8622 is 2.
Lets's calculate GCF of 2828,8622
| 2 | 2828, 8622 |
| 1414, 4311 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2828,8622 By Matching Biggest Common Factor Method
Now, list down the factors of 2828
:1,2,4,7,14,28,101,202,404,707,1414,2828
Now, list down the factors of 8622
:1,2,3,6,9,18,479,958,1437,2874,4311,8622
Greatest Common Factor
We found the factors 2828,8622 . The biggest common factor number is the GCF number.
So the greatest common factor 2828,8622 is 2.
Lets's calculate LCM of 457,4396
Given numbers has no common factors except 1. So, there LCM is their product i.e 2008972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2008972
Therefore, the GCF of Fractions 2828/457,8622/4396 is 2/2008972
Least Common Multiple of 457,4396 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 457,4396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,4396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,4396) x common factors =1 x 1 = 1
LCM(457,4396) = ( 457 × 4396 ) / 1
LCM(457,4396) = 2008972 / 1
LCM(457,4396) = 2008972
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FAQs on GCF of Fractions of 2828/457, 8622/4396
1. What is the HCF of 2828,8622?
The HCF of 2828,8622 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 2828/457, 8622/4396?
Answer: GCF of Numerators as per given numbers 2828/457, 8622/4396 is
GCF of Numerators i.e. for 2828,8622 is 2
LCM of denominators i.e. for 457,4396 is 2008972.
Thus, GCF of Fractions is 2/2008972.Finally, GCF of Fractions for 2828/457, 8622/4396 is 2/2008972.