GCF of 8828/407, 2898/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8828/407, 2898/369 i.e 2/150183 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8828/407, 2898/369.
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 8828/407,2898/369?
Given fractions are 8828/407,2898/369
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 8828/407,2898/369, numerators are 8828,2898
Denominators are 407,369
The GCF of 8828,2898 is 2 .
LCM of 407,369 is 150183.
The greatest common factor of 8828/407,2898/369 = [GCF of 8828,2898]/[LCM of 407,369]= 2/150183
Therefore, the GCF of 8828/407,2898/369 is 2/150183.
To find the highest common factor of 8828,2898, we have to find the factors of both numbers and list the highest common factor.
The factors of 8828 are 1, 2, 4, 2207, 4414, 8828
The factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898
The HCF of 8828,2898 is 2.
Lets's calculate GCF of 8828,2898
| 2 | 8828, 2898 |
| 4414, 1449 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8828,2898 By Matching Biggest Common Factor Method
Now, list down the factors of 8828
:1,2,4,2207,4414,8828
Now, list down the factors of 2898
:1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898
Greatest Common Factor
We found the factors 8828,2898 . The biggest common factor number is the GCF number.
So the greatest common factor 8828,2898 is 2.
Lets's calculate LCM of 407,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 150183
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150183
Therefore, the GCF of Fractions 8828/407,2898/369 is 2/150183
Least Common Multiple of 407,369 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 407,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,369) x common factors =1 x 1 = 1
LCM(407,369) = ( 407 × 369 ) / 1
LCM(407,369) = 150183 / 1
LCM(407,369) = 150183
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FAQs on GCF of Fractions of 8828/407, 2898/369
1. What is the HCF of 8828,2898?
The HCF of 8828,2898 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 8828/407, 2898/369?
Answer: GCF of Numerators as per given numbers 8828/407, 2898/369 is
GCF of Numerators i.e. for 8828,2898 is 2
LCM of denominators i.e. for 407,369 is 150183.
Thus, GCF of Fractions is 2/150183.Finally, GCF of Fractions for 8828/407, 2898/369 is 2/150183.