GCF of 5728/686, 5656/6111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5728/686, 5656/6111 i.e 8/598878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5728/686, 5656/6111.
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 5728/686,5656/6111?
Given fractions are 5728/686,5656/6111
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 5728/686,5656/6111, numerators are 5728,5656
Denominators are 686,6111
The GCF of 5728,5656 is 8 .
LCM of 686,6111 is 598878.
The greatest common factor of 5728/686,5656/6111 = [GCF of 5728,5656]/[LCM of 686,6111]= 8/598878
Therefore, the GCF of 5728/686,5656/6111 is 8/598878.
To find the highest common factor of 5728,5656, we have to find the factors of both numbers and list the highest common factor.
The factors of 5728 are 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728
The factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656
The HCF of 5728,5656 is 8.
Lets's calculate GCF of 5728,5656
| 2 | 5728, 5656 |
| 2 | 2864, 2828 |
| 2 | 1432, 1414 |
| 716, 707 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5728,5656 By Matching Biggest Common Factor Method
Now, list down the factors of 5728
:1,2,4,8,16,32,179,358,716,1432,2864,5728
Now, list down the factors of 5656
:1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656
Greatest Common Factor
We found the factors 5728,5656 . The biggest common factor number is the GCF number.
So the greatest common factor 5728,5656 is 8.
Lets's calculate LCM of 686,6111
| 7 | 686, 6111 |
| 98, 873 |
∴ So the LCM of the given numbers is 7 x 98 x 873 = 598878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/598878
Therefore, the GCF of Fractions 5728/686,5656/6111 is 8/598878
Least Common Multiple of 686,6111 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 686,6111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,6111) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(686,6111) x common factors =7 x 1 = 7
LCM(686,6111) = ( 686 × 6111 ) / 7
LCM(686,6111) = 4192146 / 7
LCM(686,6111) = 598878
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5728/686, 5656/6111
1. What is the HCF of 5728,5656?
The HCF of 5728,5656 is 8
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 5728/686, 5656/6111?
Answer: GCF of Numerators as per given numbers 5728/686, 5656/6111 is
GCF of Numerators i.e. for 5728,5656 is 8
LCM of denominators i.e. for 686,6111 is 598878.
Thus, GCF of Fractions is 8/598878.Finally, GCF of Fractions for 5728/686, 5656/6111 is 8/598878.