GCF of 8826/994, 3390/8471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8826/994, 3390/8471 i.e 6/8420174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8826/994, 3390/8471.
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 8826/994,3390/8471?
Given fractions are 8826/994,3390/8471
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 8826/994,3390/8471, numerators are 8826,3390
Denominators are 994,8471
The GCF of 8826,3390 is 6 .
LCM of 994,8471 is 8420174.
The greatest common factor of 8826/994,3390/8471 = [GCF of 8826,3390]/[LCM of 994,8471]= 6/8420174
Therefore, the GCF of 8826/994,3390/8471 is 6/8420174.
To find the highest common factor of 8826,3390, we have to find the factors of both numbers and list the highest common factor.
The factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826
The factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390
The HCF of 8826,3390 is 6.
Lets's calculate GCF of 8826,3390
| 2 | 8826, 3390 |
| 3 | 4413, 1695 |
| 1471, 565 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8826,3390 By Matching Biggest Common Factor Method
Now, list down the factors of 8826
:1,2,3,6,1471,2942,4413,8826
Now, list down the factors of 3390
:1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390
Greatest Common Factor
We found the factors 8826,3390 . The biggest common factor number is the GCF number.
So the greatest common factor 8826,3390 is 6.
Lets's calculate LCM of 994,8471
Given numbers has no common factors except 1. So, there LCM is their product i.e 8420174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8420174
Therefore, the GCF of Fractions 8826/994,3390/8471 is 6/8420174
Least Common Multiple of 994,8471 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 994,8471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,8471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,8471) x common factors =1 x 1 = 1
LCM(994,8471) = ( 994 × 8471 ) / 1
LCM(994,8471) = 8420174 / 1
LCM(994,8471) = 8420174
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FAQs on GCF of Fractions of 8826/994, 3390/8471
1. What is the HCF of 8826,3390?
The HCF of 8826,3390 is 6
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 8826/994, 3390/8471?
Answer: GCF of Numerators as per given numbers 8826/994, 3390/8471 is
GCF of Numerators i.e. for 8826,3390 is 6
LCM of denominators i.e. for 994,8471 is 8420174.
Thus, GCF of Fractions is 6/8420174.Finally, GCF of Fractions for 8826/994, 3390/8471 is 6/8420174.