GCF of 5577/866, 5707/2187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5577/866, 5707/2187 i.e 13/1893942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5577/866, 5707/2187.
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 5577/866,5707/2187?
Given fractions are 5577/866,5707/2187
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 5577/866,5707/2187, numerators are 5577,5707
Denominators are 866,2187
The GCF of 5577,5707 is 13 .
LCM of 866,2187 is 1893942.
The greatest common factor of 5577/866,5707/2187 = [GCF of 5577,5707]/[LCM of 866,2187]= 13/1893942
Therefore, the GCF of 5577/866,5707/2187 is 13/1893942.
To find the highest common factor of 5577,5707, we have to find the factors of both numbers and list the highest common factor.
The factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577
The factors of 5707 are 1, 13, 439, 5707
The HCF of 5577,5707 is 13.
Lets's calculate GCF of 5577,5707
| 13 | 5577, 5707 |
| 429, 439 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5577,5707 By Matching Biggest Common Factor Method
Now, list down the factors of 5577
:1,3,11,13,33,39,143,169,429,507,1859,5577
Now, list down the factors of 5707
:1,13,439,5707
Greatest Common Factor
We found the factors 5577,5707 . The biggest common factor number is the GCF number.
So the greatest common factor 5577,5707 is 13.
Lets's calculate LCM of 866,2187
Given numbers has no common factors except 1. So, there LCM is their product i.e 1893942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1893942
Therefore, the GCF of Fractions 5577/866,5707/2187 is 13/1893942
Least Common Multiple of 866,2187 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 866,2187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,2187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,2187) x common factors =1 x 1 = 1
LCM(866,2187) = ( 866 × 2187 ) / 1
LCM(866,2187) = 1893942 / 1
LCM(866,2187) = 1893942
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5577/866, 5707/2187
1. What is the HCF of 5577,5707?
The HCF of 5577,5707 is 13
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 5577/866, 5707/2187?
Answer: GCF of Numerators as per given numbers 5577/866, 5707/2187 is
GCF of Numerators i.e. for 5577,5707 is 13
LCM of denominators i.e. for 866,2187 is 1893942.
Thus, GCF of Fractions is 13/1893942.Finally, GCF of Fractions for 5577/866, 5707/2187 is 13/1893942.