GCF of 8127/854, 5043/9618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8127/854, 5043/9618 i.e 3/586698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8127/854, 5043/9618.
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 8127/854,5043/9618?
Given fractions are 8127/854,5043/9618
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 8127/854,5043/9618, numerators are 8127,5043
Denominators are 854,9618
The GCF of 8127,5043 is 3 .
LCM of 854,9618 is 586698.
The greatest common factor of 8127/854,5043/9618 = [GCF of 8127,5043]/[LCM of 854,9618]= 3/586698
Therefore, the GCF of 8127/854,5043/9618 is 3/586698.
To find the highest common factor of 8127,5043, we have to find the factors of both numbers and list the highest common factor.
The factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127
The factors of 5043 are 1, 3, 41, 123, 1681, 5043
The HCF of 8127,5043 is 3.
Lets's calculate GCF of 8127,5043
| 3 | 8127, 5043 |
| 2709, 1681 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8127,5043 By Matching Biggest Common Factor Method
Now, list down the factors of 8127
:1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127
Now, list down the factors of 5043
:1,3,41,123,1681,5043
Greatest Common Factor
We found the factors 8127,5043 . The biggest common factor number is the GCF number.
So the greatest common factor 8127,5043 is 3.
Lets's calculate LCM of 854,9618
| 2 | 854, 9618 |
| 7 | 427, 4809 |
| 61, 687 |
∴ So the LCM of the given numbers is 2 x 7 x 61 x 687 = 586698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/586698
Therefore, the GCF of Fractions 8127/854,5043/9618 is 3/586698
Least Common Multiple of 854,9618 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 854,9618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,9618) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(854,9618) x common factors =14 x 1 = 14
LCM(854,9618) = ( 854 × 9618 ) / 14
LCM(854,9618) = 8213772 / 14
LCM(854,9618) = 586698
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8127/854, 5043/9618
1. What is the HCF of 8127,5043?
The HCF of 8127,5043 is 3
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 8127/854, 5043/9618?
Answer: GCF of Numerators as per given numbers 8127/854, 5043/9618 is
GCF of Numerators i.e. for 8127,5043 is 3
LCM of denominators i.e. for 854,9618 is 586698.
Thus, GCF of Fractions is 3/586698.Finally, GCF of Fractions for 8127/854, 5043/9618 is 3/586698.