GCF of 8122/542, 6738/9018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8122/542, 6738/9018 i.e 2/2443878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8122/542, 6738/9018.
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 8122/542,6738/9018?
Given fractions are 8122/542,6738/9018
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 8122/542,6738/9018, numerators are 8122,6738
Denominators are 542,9018
The GCF of 8122,6738 is 2 .
LCM of 542,9018 is 2443878.
The greatest common factor of 8122/542,6738/9018 = [GCF of 8122,6738]/[LCM of 542,9018]= 2/2443878
Therefore, the GCF of 8122/542,6738/9018 is 2/2443878.
To find the highest common factor of 8122,6738, we have to find the factors of both numbers and list the highest common factor.
The factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122
The factors of 6738 are 1, 2, 3, 6, 1123, 2246, 3369, 6738
The HCF of 8122,6738 is 2.
Lets's calculate GCF of 8122,6738
| 2 | 8122, 6738 |
| 4061, 3369 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8122,6738 By Matching Biggest Common Factor Method
Now, list down the factors of 8122
:1,2,31,62,131,262,4061,8122
Now, list down the factors of 6738
:1,2,3,6,1123,2246,3369,6738
Greatest Common Factor
We found the factors 8122,6738 . The biggest common factor number is the GCF number.
So the greatest common factor 8122,6738 is 2.
Lets's calculate LCM of 542,9018
| 2 | 542, 9018 |
| 271, 4509 |
∴ So the LCM of the given numbers is 2 x 271 x 4509 = 2443878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2443878
Therefore, the GCF of Fractions 8122/542,6738/9018 is 2/2443878
Least Common Multiple of 542,9018 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 542,9018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,9018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,9018) x common factors =2 x 1 = 2
LCM(542,9018) = ( 542 × 9018 ) / 2
LCM(542,9018) = 4887756 / 2
LCM(542,9018) = 2443878
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FAQs on GCF of Fractions of 8122/542, 6738/9018
1. What is the HCF of 8122,6738?
The HCF of 8122,6738 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 8122/542, 6738/9018?
Answer: GCF of Numerators as per given numbers 8122/542, 6738/9018 is
GCF of Numerators i.e. for 8122,6738 is 2
LCM of denominators i.e. for 542,9018 is 2443878.
Thus, GCF of Fractions is 2/2443878.Finally, GCF of Fractions for 8122/542, 6738/9018 is 2/2443878.