GCF of 8/45, 44/18, 86/511, 618/658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/45, 44/18, 86/511, 618/658 i.e 2/2161530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/45, 44/18, 86/511, 618/658.
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 8/45,44/18,86/511,618/658?
Given fractions are 8/45,44/18,86/511,618/658
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 8/45,44/18,86/511,618/658, numerators are 8,44,86,618
Denominators are 45,18,511,658
The GCF of 8,44,86,618 is 2 .
LCM of 45,18,511,658 is 2161530.
The greatest common factor of 8/45,44/18,86/511,618/658 = [GCF of 8,44,86,618]/[LCM of 45,18,511,658]= 2/2161530
Therefore, the GCF of 8/45,44/18,86/511,618/658 is 2/2161530.
To find the highest common factor of 8,44,86,618, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 86 are 1, 2, 43, 86
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The HCF of 8,44,86,618 is 2.
Lets's calculate GCF of 8,44,86,618
| 2 | 8, 44, 86, 618 |
| 4, 22, 43, 309 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8,44,86,618 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 8,44,86,618 . The biggest common factor number is the GCF number.
So the greatest common factor 8,44,86,618 is 2.
Lets's calculate LCM of 45,18,511,658
| 2 | 45, 18, 511, 658 |
| 3 | 45, 9, 511, 329 |
| 3 | 15, 3, 511, 329 |
| 7 | 5, 1, 511, 329 |
| 5, 1, 73, 47 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 1 x 73 x 47 = 2161530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2161530
Therefore, the GCF of Fractions 8/45,44/18,86/511,618/658 is 2/2161530
Least Common Multiple of 45,18,511,658 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 45,18,511,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,18,511,658) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(45,18,511,658) x common factors =1 x 126 = 126
LCM(45,18,511,658) = ( 45 × 18 × 511 × 658 ) / 126
LCM(45,18,511,658) = 272352780 / 126
LCM(45,18,511,658) = 2161530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8/45, 44/18, 86/511, 618/658
1. What is the HCF of 8,44,86,618?
The HCF of 8,44,86,618 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 8/45, 44/18, 86/511, 618/658?
Answer: GCF of Numerators as per given numbers 8/45, 44/18, 86/511, 618/658 is
GCF of Numerators i.e. for 8,44,86,618 is 2
LCM of denominators i.e. for 45,18,511,658 is 2161530.
Thus, GCF of Fractions is 2/2161530.Finally, GCF of Fractions for 8/45, 44/18, 86/511, 618/658 is 2/2161530.