GCF of 8/30, 36/18, 78/669, 382/389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/30, 36/18, 78/669, 382/389 i.e 2/7807230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/30, 36/18, 78/669, 382/389.
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 8/30,36/18,78/669,382/389?
Given fractions are 8/30,36/18,78/669,382/389
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 8/30,36/18,78/669,382/389, numerators are 8,36,78,382
Denominators are 30,18,669,389
The GCF of 8,36,78,382 is 2 .
LCM of 30,18,669,389 is 7807230.
The greatest common factor of 8/30,36/18,78/669,382/389 = [GCF of 8,36,78,382]/[LCM of 30,18,669,389]= 2/7807230
Therefore, the GCF of 8/30,36/18,78/669,382/389 is 2/7807230.
To find the highest common factor of 8,36,78,382, 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 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 382 are 1, 2, 191, 382
The HCF of 8,36,78,382 is 2.
Lets's calculate GCF of 8,36,78,382
| 2 | 8, 36, 78, 382 |
| 4, 18, 39, 191 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8,36,78,382 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 8,36,78,382 . The biggest common factor number is the GCF number.
So the greatest common factor 8,36,78,382 is 2.
Lets's calculate LCM of 30,18,669,389
| 2 | 30, 18, 669, 389 |
| 3 | 15, 9, 669, 389 |
| 5, 3, 223, 389 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 223 x 389 = 7807230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7807230
Therefore, the GCF of Fractions 8/30,36/18,78/669,382/389 is 2/7807230
Least Common Multiple of 30,18,669,389 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 30,18,669,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,18,669,389) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(30,18,669,389) x common factors =1 x 18 = 18
LCM(30,18,669,389) = ( 30 × 18 × 669 × 389 ) / 18
LCM(30,18,669,389) = 140530140 / 18
LCM(30,18,669,389) = 7807230
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8/30, 36/18, 78/669, 382/389
1. What is the HCF of 8,36,78,382?
The HCF of 8,36,78,382 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 8/30, 36/18, 78/669, 382/389?
Answer: GCF of Numerators as per given numbers 8/30, 36/18, 78/669, 382/389 is
GCF of Numerators i.e. for 8,36,78,382 is 2
LCM of denominators i.e. for 30,18,669,389 is 7807230.
Thus, GCF of Fractions is 2/7807230.Finally, GCF of Fractions for 8/30, 36/18, 78/669, 382/389 is 2/7807230.