GCF of 4120/216, 7832/5708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4120/216, 7832/5708 i.e 8/308232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4120/216, 7832/5708.
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 4120/216,7832/5708?
Given fractions are 4120/216,7832/5708
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 4120/216,7832/5708, numerators are 4120,7832
Denominators are 216,5708
The GCF of 4120,7832 is 8 .
LCM of 216,5708 is 308232.
The greatest common factor of 4120/216,7832/5708 = [GCF of 4120,7832]/[LCM of 216,5708]= 8/308232
Therefore, the GCF of 4120/216,7832/5708 is 8/308232.
To find the highest common factor of 4120,7832, we have to find the factors of both numbers and list the highest common factor.
The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832
The HCF of 4120,7832 is 8.
Lets's calculate GCF of 4120,7832
| 2 | 4120, 7832 |
| 2 | 2060, 3916 |
| 2 | 1030, 1958 |
| 515, 979 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4120,7832 By Matching Biggest Common Factor Method
Now, list down the factors of 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Now, list down the factors of 7832
:1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832
Greatest Common Factor
We found the factors 4120,7832 . The biggest common factor number is the GCF number.
So the greatest common factor 4120,7832 is 8.
Lets's calculate LCM of 216,5708
| 2 | 216, 5708 |
| 2 | 108, 2854 |
| 54, 1427 |
∴ So the LCM of the given numbers is 2 x 2 x 54 x 1427 = 308232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/308232
Therefore, the GCF of Fractions 4120/216,7832/5708 is 8/308232
Least Common Multiple of 216,5708 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 216,5708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,5708) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(216,5708) x common factors =4 x 1 = 4
LCM(216,5708) = ( 216 × 5708 ) / 4
LCM(216,5708) = 1232928 / 4
LCM(216,5708) = 308232
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FAQs on GCF of Fractions of 4120/216, 7832/5708
1. What is the HCF of 4120,7832?
The HCF of 4120,7832 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 4120/216, 7832/5708?
Answer: GCF of Numerators as per given numbers 4120/216, 7832/5708 is
GCF of Numerators i.e. for 4120,7832 is 8
LCM of denominators i.e. for 216,5708 is 308232.
Thus, GCF of Fractions is 8/308232.Finally, GCF of Fractions for 4120/216, 7832/5708 is 8/308232.