GCF of 8888/392, 1008/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8888/392, 1008/629 i.e 8/246568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8888/392, 1008/629.
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 8888/392,1008/629?
Given fractions are 8888/392,1008/629
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 8888/392,1008/629, numerators are 8888,1008
Denominators are 392,629
The GCF of 8888,1008 is 8 .
LCM of 392,629 is 246568.
The greatest common factor of 8888/392,1008/629 = [GCF of 8888,1008]/[LCM of 392,629]= 8/246568
Therefore, the GCF of 8888/392,1008/629 is 8/246568.
To find the highest common factor of 8888,1008, we have to find the factors of both numbers and list the highest common factor.
The factors of 8888 are 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888
The factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
The HCF of 8888,1008 is 8.
Lets's calculate GCF of 8888,1008
| 2 | 8888, 1008 |
| 2 | 4444, 504 |
| 2 | 2222, 252 |
| 1111, 126 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8888,1008 By Matching Biggest Common Factor Method
Now, list down the factors of 8888
:1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888
Now, list down the factors of 1008
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008
Greatest Common Factor
We found the factors 8888,1008 . The biggest common factor number is the GCF number.
So the greatest common factor 8888,1008 is 8.
Lets's calculate LCM of 392,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 246568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/246568
Therefore, the GCF of Fractions 8888/392,1008/629 is 8/246568
Least Common Multiple of 392,629 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 392,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(392,629) x common factors =1 x 1 = 1
LCM(392,629) = ( 392 × 629 ) / 1
LCM(392,629) = 246568 / 1
LCM(392,629) = 246568
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FAQs on GCF of Fractions of 8888/392, 1008/629
1. What is the HCF of 8888,1008?
The HCF of 8888,1008 is 8
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 8888/392, 1008/629?
Answer: GCF of Numerators as per given numbers 8888/392, 1008/629 is
GCF of Numerators i.e. for 8888,1008 is 8
LCM of denominators i.e. for 392,629 is 246568.
Thus, GCF of Fractions is 8/246568.Finally, GCF of Fractions for 8888/392, 1008/629 is 8/246568.