GCF of 8622/826, 8850/5996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8622/826, 8850/5996 i.e 6/2476348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8622/826, 8850/5996.
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 8622/826,8850/5996?
Given fractions are 8622/826,8850/5996
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 8622/826,8850/5996, numerators are 8622,8850
Denominators are 826,5996
The GCF of 8622,8850 is 6 .
LCM of 826,5996 is 2476348.
The greatest common factor of 8622/826,8850/5996 = [GCF of 8622,8850]/[LCM of 826,5996]= 6/2476348
Therefore, the GCF of 8622/826,8850/5996 is 6/2476348.
To find the highest common factor of 8622,8850, we have to find the factors of both numbers and list the highest common factor.
The factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622
The factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850
The HCF of 8622,8850 is 6.
Lets's calculate GCF of 8622,8850
| 2 | 8622, 8850 |
| 3 | 4311, 4425 |
| 1437, 1475 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8622,8850 By Matching Biggest Common Factor Method
Now, list down the factors of 8622
:1,2,3,6,9,18,479,958,1437,2874,4311,8622
Now, list down the factors of 8850
:1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850
Greatest Common Factor
We found the factors 8622,8850 . The biggest common factor number is the GCF number.
So the greatest common factor 8622,8850 is 6.
Lets's calculate LCM of 826,5996
| 2 | 826, 5996 |
| 413, 2998 |
∴ So the LCM of the given numbers is 2 x 413 x 2998 = 2476348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2476348
Therefore, the GCF of Fractions 8622/826,8850/5996 is 6/2476348
Least Common Multiple of 826,5996 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 826,5996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,5996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,5996) x common factors =2 x 1 = 2
LCM(826,5996) = ( 826 × 5996 ) / 2
LCM(826,5996) = 4952696 / 2
LCM(826,5996) = 2476348
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8622/826, 8850/5996
1. What is the HCF of 8622,8850?
The HCF of 8622,8850 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 8622/826, 8850/5996?
Answer: GCF of Numerators as per given numbers 8622/826, 8850/5996 is
GCF of Numerators i.e. for 8622,8850 is 6
LCM of denominators i.e. for 826,5996 is 2476348.
Thus, GCF of Fractions is 6/2476348.Finally, GCF of Fractions for 8622/826, 8850/5996 is 6/2476348.