GCF of 8874/393, 2842/5524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8874/393, 2842/5524 i.e 58/2170932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8874/393, 2842/5524.
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 8874/393,2842/5524?
Given fractions are 8874/393,2842/5524
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 8874/393,2842/5524, numerators are 8874,2842
Denominators are 393,5524
The GCF of 8874,2842 is 58 .
LCM of 393,5524 is 2170932.
The greatest common factor of 8874/393,2842/5524 = [GCF of 8874,2842]/[LCM of 393,5524]= 58/2170932
Therefore, the GCF of 8874/393,2842/5524 is 58/2170932.
To find the highest common factor of 8874,2842, we have to find the factors of both numbers and list the highest common factor.
The factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874
The factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842
The HCF of 8874,2842 is 58.
Lets's calculate GCF of 8874,2842
| 2 | 8874, 2842 |
| 29 | 4437, 1421 |
| 153, 49 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 8874,2842 By Matching Biggest Common Factor Method
Now, list down the factors of 8874
:1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874
Now, list down the factors of 2842
:1,2,7,14,29,49,58,98,203,406,1421,2842
Greatest Common Factor
We found the factors 8874,2842 . The biggest common factor number is the GCF number.
So the greatest common factor 8874,2842 is 58.
Lets's calculate LCM of 393,5524
Given numbers has no common factors except 1. So, there LCM is their product i.e 2170932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/2170932
Therefore, the GCF of Fractions 8874/393,2842/5524 is 58/2170932
Least Common Multiple of 393,5524 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 393,5524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,5524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,5524) x common factors =1 x 1 = 1
LCM(393,5524) = ( 393 × 5524 ) / 1
LCM(393,5524) = 2170932 / 1
LCM(393,5524) = 2170932
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FAQs on GCF of Fractions of 8874/393, 2842/5524
1. What is the HCF of 8874,2842?
The HCF of 8874,2842 is 58
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 8874/393, 2842/5524?
Answer: GCF of Numerators as per given numbers 8874/393, 2842/5524 is
GCF of Numerators i.e. for 8874,2842 is 58
LCM of denominators i.e. for 393,5524 is 2170932.
Thus, GCF of Fractions is 58/2170932.Finally, GCF of Fractions for 8874/393, 2842/5524 is 58/2170932.