Use our free GCF of Fractions Calculator tool to compute the GCF of 5684/512, 6551/1277 i.e 1/653824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5684/512, 6551/1277.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5684/512,6551/1277
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 5684/512,6551/1277, numerators are 5684,6551
Denominators are 512,1277
The GCF of 5684,6551 is 1 .
LCM of 512,1277 is 653824.
The greatest common factor of 5684/512,6551/1277 = [GCF of 5684,6551]/[LCM of 512,1277]= 1/653824
Therefore, the GCF of 5684/512,6551/1277 is 1/653824.
To find the highest common factor of 5684,6551, we have to find the factors of both numbers and list the highest common factor.
The factors of 5684 are 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684
The factors of 6551 are 1, 6551
The HCF of 5684,6551 is 1.
Lets's calculate GCF of 5684,6551
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5684
:1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684
Now, list down the factors of 6551
:1,6551
Greatest Common Factor
We found the factors 5684,6551 . The biggest common factor number is the GCF number.
So the greatest common factor 5684,6551 is 1.
Lets's calculate LCM of 512,1277
Given numbers has no common factors except 1. So, there LCM is their product i.e 653824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/653824
Therefore, the GCF of Fractions 5684/512,6551/1277 is 1/653824
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 512,1277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,1277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,1277) x common factors =1 x 1 = 1
LCM(512,1277) = ( 512 × 1277 ) / 1
LCM(512,1277) = 653824 / 1
LCM(512,1277) = 653824
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5684,6551?
The HCF of 5684,6551 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 5684/512, 6551/1277?
Answer: GCF of Numerators as per given numbers 5684/512, 6551/1277 is
GCF of Numerators i.e. for 5684,6551 is 1
LCM of denominators i.e. for 512,1277 is 653824.
Thus, GCF of Fractions is 1/653824.Finally, GCF of Fractions for 5684/512, 6551/1277 is 1/653824.