GCF of 6177/644, 6887/6016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6177/644, 6887/6016 i.e 71/968576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6177/644, 6887/6016.
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 6177/644,6887/6016?
Given fractions are 6177/644,6887/6016
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 6177/644,6887/6016, numerators are 6177,6887
Denominators are 644,6016
The GCF of 6177,6887 is 71 .
LCM of 644,6016 is 968576.
The greatest common factor of 6177/644,6887/6016 = [GCF of 6177,6887]/[LCM of 644,6016]= 71/968576
Therefore, the GCF of 6177/644,6887/6016 is 71/968576.
To find the highest common factor of 6177,6887, we have to find the factors of both numbers and list the highest common factor.
The factors of 6177 are 1, 3, 29, 71, 87, 213, 2059, 6177
The factors of 6887 are 1, 71, 97, 6887
The HCF of 6177,6887 is 71.
Lets's calculate GCF of 6177,6887
| 71 | 6177, 6887 |
| 87, 97 |
∴ So the GCF of the given numbers is 71 = 71
Greatest Common Factor of 6177,6887 By Matching Biggest Common Factor Method
Now, list down the factors of 6177
:1,3,29,71,87,213,2059,6177
Now, list down the factors of 6887
:1,71,97,6887
Greatest Common Factor
We found the factors 6177,6887 . The biggest common factor number is the GCF number.
So the greatest common factor 6177,6887 is 71.
Lets's calculate LCM of 644,6016
| 2 | 644, 6016 |
| 2 | 322, 3008 |
| 161, 1504 |
∴ So the LCM of the given numbers is 2 x 2 x 161 x 1504 = 968576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/968576
Therefore, the GCF of Fractions 6177/644,6887/6016 is 71/968576
Least Common Multiple of 644,6016 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 644,6016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,6016) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(644,6016) x common factors =4 x 1 = 4
LCM(644,6016) = ( 644 × 6016 ) / 4
LCM(644,6016) = 3874304 / 4
LCM(644,6016) = 968576
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FAQs on GCF of Fractions of 6177/644, 6887/6016
1. What is the HCF of 6177,6887?
The HCF of 6177,6887 is 71
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 6177/644, 6887/6016?
Answer: GCF of Numerators as per given numbers 6177/644, 6887/6016 is
GCF of Numerators i.e. for 6177,6887 is 71
LCM of denominators i.e. for 644,6016 is 968576.
Thus, GCF of Fractions is 71/968576.Finally, GCF of Fractions for 6177/644, 6887/6016 is 71/968576.