Use our free GCF of Fractions Calculator tool to compute the GCF of 2200/372, 5527/7631 i.e 1/2838732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2200/372, 5527/7631.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2200/372,5527/7631
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 2200/372,5527/7631, numerators are 2200,5527
Denominators are 372,7631
The GCF of 2200,5527 is 1 .
LCM of 372,7631 is 2838732.
The greatest common factor of 2200/372,5527/7631 = [GCF of 2200,5527]/[LCM of 372,7631]= 1/2838732
Therefore, the GCF of 2200/372,5527/7631 is 1/2838732.
To find the highest common factor of 2200,5527, we have to find the factors of both numbers and list the highest common factor.
The factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200
The factors of 5527 are 1, 5527
The HCF of 2200,5527 is 1.
Lets's calculate GCF of 2200,5527
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2200
:1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200
Now, list down the factors of 5527
:1,5527
Greatest Common Factor
We found the factors 2200,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 2200,5527 is 1.
Lets's calculate LCM of 372,7631
Given numbers has no common factors except 1. So, there LCM is their product i.e 2838732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2838732
Therefore, the GCF of Fractions 2200/372,5527/7631 is 1/2838732
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 372,7631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,7631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(372,7631) x common factors =1 x 1 = 1
LCM(372,7631) = ( 372 × 7631 ) / 1
LCM(372,7631) = 2838732 / 1
LCM(372,7631) = 2838732
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2200,5527?
The HCF of 2200,5527 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 2200/372, 5527/7631?
Answer: GCF of Numerators as per given numbers 2200/372, 5527/7631 is
GCF of Numerators i.e. for 2200,5527 is 1
LCM of denominators i.e. for 372,7631 is 2838732.
Thus, GCF of Fractions is 1/2838732.Finally, GCF of Fractions for 2200/372, 5527/7631 is 1/2838732.