GCF of 6616/365, 8501/1606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6616/365, 8501/1606 i.e 1/8030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6616/365, 8501/1606.
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 6616/365,8501/1606?
Given fractions are 6616/365,8501/1606
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 6616/365,8501/1606, numerators are 6616,8501
Denominators are 365,1606
The GCF of 6616,8501 is 1 .
LCM of 365,1606 is 8030.
The greatest common factor of 6616/365,8501/1606 = [GCF of 6616,8501]/[LCM of 365,1606]= 1/8030
Therefore, the GCF of 6616/365,8501/1606 is 1/8030.
To find the highest common factor of 6616,8501, 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 8501 are 1, 8501
The HCF of 6616,8501 is 1.
Lets's calculate GCF of 6616,8501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6616,8501 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 8501
:1,8501
Greatest Common Factor
We found the factors 6616,8501 . The biggest common factor number is the GCF number.
So the greatest common factor 6616,8501 is 1.
Lets's calculate LCM of 365,1606
| 73 | 365, 1606 |
| 5, 22 |
∴ So the LCM of the given numbers is 73 x 5 x 22 = 8030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8030
Therefore, the GCF of Fractions 6616/365,8501/1606 is 1/8030
Least Common Multiple of 365,1606 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 365,1606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,1606) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(365,1606) x common factors =73 x 1 = 73
LCM(365,1606) = ( 365 × 1606 ) / 73
LCM(365,1606) = 586190 / 73
LCM(365,1606) = 8030
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FAQs on GCF of Fractions of 6616/365, 8501/1606
1. What is the HCF of 6616,8501?
The HCF of 6616,8501 is 1
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 6616/365, 8501/1606?
Answer: GCF of Numerators as per given numbers 6616/365, 8501/1606 is
GCF of Numerators i.e. for 6616,8501 is 1
LCM of denominators i.e. for 365,1606 is 8030.
Thus, GCF of Fractions is 1/8030.Finally, GCF of Fractions for 6616/365, 8501/1606 is 1/8030.