GCF of 616/566, 6882/779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 616/566, 6882/779 i.e 2/440914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/566, 6882/779.
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 616/566,6882/779?
Given fractions are 616/566,6882/779
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 616/566,6882/779, numerators are 616,6882
Denominators are 566,779
The GCF of 616,6882 is 2 .
LCM of 566,779 is 440914.
The greatest common factor of 616/566,6882/779 = [GCF of 616,6882]/[LCM of 566,779]= 2/440914
Therefore, the GCF of 616/566,6882/779 is 2/440914.
To find the highest common factor of 616,6882, we have to find the factors of both numbers and list the highest common factor.
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882
The HCF of 616,6882 is 2.
Lets's calculate GCF of 616,6882
| 2 | 616, 6882 |
| 308, 3441 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 616,6882 By Matching Biggest Common Factor Method
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Now, list down the factors of 6882
:1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882
Greatest Common Factor
We found the factors 616,6882 . The biggest common factor number is the GCF number.
So the greatest common factor 616,6882 is 2.
Lets's calculate LCM of 566,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 440914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/440914
Therefore, the GCF of Fractions 616/566,6882/779 is 2/440914
Least Common Multiple of 566,779 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 566,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,779) x common factors =1 x 1 = 1
LCM(566,779) = ( 566 × 779 ) / 1
LCM(566,779) = 440914 / 1
LCM(566,779) = 440914
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 616/566, 6882/779
1. What is the HCF of 616,6882?
The HCF of 616,6882 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 616/566, 6882/779?
Answer: GCF of Numerators as per given numbers 616/566, 6882/779 is
GCF of Numerators i.e. for 616,6882 is 2
LCM of denominators i.e. for 566,779 is 440914.
Thus, GCF of Fractions is 2/440914.Finally, GCF of Fractions for 616/566, 6882/779 is 2/440914.