GCF of 6068/485, 7881/8910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6068/485, 7881/8910 i.e 37/864270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6068/485, 7881/8910.
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 6068/485,7881/8910?
Given fractions are 6068/485,7881/8910
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 6068/485,7881/8910, numerators are 6068,7881
Denominators are 485,8910
The GCF of 6068,7881 is 37 .
LCM of 485,8910 is 864270.
The greatest common factor of 6068/485,7881/8910 = [GCF of 6068,7881]/[LCM of 485,8910]= 37/864270
Therefore, the GCF of 6068/485,7881/8910 is 37/864270.
To find the highest common factor of 6068,7881, we have to find the factors of both numbers and list the highest common factor.
The factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068
The factors of 7881 are 1, 3, 37, 71, 111, 213, 2627, 7881
The HCF of 6068,7881 is 37.
Lets's calculate GCF of 6068,7881
| 37 | 6068, 7881 |
| 164, 213 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 6068,7881 By Matching Biggest Common Factor Method
Now, list down the factors of 6068
:1,2,4,37,41,74,82,148,164,1517,3034,6068
Now, list down the factors of 7881
:1,3,37,71,111,213,2627,7881
Greatest Common Factor
We found the factors 6068,7881 . The biggest common factor number is the GCF number.
So the greatest common factor 6068,7881 is 37.
Lets's calculate LCM of 485,8910
| 5 | 485, 8910 |
| 97, 1782 |
∴ So the LCM of the given numbers is 5 x 97 x 1782 = 864270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/864270
Therefore, the GCF of Fractions 6068/485,7881/8910 is 37/864270
Least Common Multiple of 485,8910 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 485,8910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,8910) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(485,8910) x common factors =5 x 1 = 5
LCM(485,8910) = ( 485 × 8910 ) / 5
LCM(485,8910) = 4321350 / 5
LCM(485,8910) = 864270
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FAQs on GCF of Fractions of 6068/485, 7881/8910
1. What is the HCF of 6068,7881?
The HCF of 6068,7881 is 37
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 6068/485, 7881/8910?
Answer: GCF of Numerators as per given numbers 6068/485, 7881/8910 is
GCF of Numerators i.e. for 6068,7881 is 37
LCM of denominators i.e. for 485,8910 is 864270.
Thus, GCF of Fractions is 37/864270.Finally, GCF of Fractions for 6068/485, 7881/8910 is 37/864270.