GCF of 6616/802, 4120/5757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6616/802, 4120/5757 i.e 8/4617114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6616/802, 4120/5757.
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 6616/802,4120/5757?
Given fractions are 6616/802,4120/5757
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 6616/802,4120/5757, numerators are 6616,4120
Denominators are 802,5757
The GCF of 6616,4120 is 8 .
LCM of 802,5757 is 4617114.
The greatest common factor of 6616/802,4120/5757 = [GCF of 6616,4120]/[LCM of 802,5757]= 8/4617114
Therefore, the GCF of 6616/802,4120/5757 is 8/4617114.
To find the highest common factor of 6616,4120, we have to find the factors of both numbers and list the highest common factor.
The factors of 6616 are 1, 2, 4, 8, 827, 1654, 3308, 6616
The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The HCF of 6616,4120 is 8.
Lets's calculate GCF of 6616,4120
| 2 | 6616, 4120 |
| 2 | 3308, 2060 |
| 2 | 1654, 1030 |
| 827, 515 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6616,4120 By Matching Biggest Common Factor Method
Now, list down the factors of 6616
:1,2,4,8,827,1654,3308,6616
Now, list down the factors of 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 6616,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 6616,4120 is 8.
Lets's calculate LCM of 802,5757
Given numbers has no common factors except 1. So, there LCM is their product i.e 4617114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4617114
Therefore, the GCF of Fractions 6616/802,4120/5757 is 8/4617114
Least Common Multiple of 802,5757 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 802,5757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,5757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,5757) x common factors =1 x 1 = 1
LCM(802,5757) = ( 802 × 5757 ) / 1
LCM(802,5757) = 4617114 / 1
LCM(802,5757) = 4617114
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6616/802, 4120/5757
1. What is the HCF of 6616,4120?
The HCF of 6616,4120 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 6616/802, 4120/5757?
Answer: GCF of Numerators as per given numbers 6616/802, 4120/5757 is
GCF of Numerators i.e. for 6616,4120 is 8
LCM of denominators i.e. for 802,5757 is 4617114.
Thus, GCF of Fractions is 8/4617114.Finally, GCF of Fractions for 6616/802, 4120/5757 is 8/4617114.