Use our free GCF of Fractions Calculator tool to compute the GCF of 2497/187, 6043/219 i.e 1/40953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2497/187, 6043/219.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2497/187,6043/219
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 2497/187,6043/219, numerators are 2497,6043
Denominators are 187,219
The GCF of 2497,6043 is 1 .
LCM of 187,219 is 40953.
The greatest common factor of 2497/187,6043/219 = [GCF of 2497,6043]/[LCM of 187,219]= 1/40953
Therefore, the GCF of 2497/187,6043/219 is 1/40953.
To find the highest common factor of 2497,6043, we have to find the factors of both numbers and list the highest common factor.
The factors of 2497 are 1, 11, 227, 2497
The factors of 6043 are 1, 6043
The HCF of 2497,6043 is 1.
Lets's calculate GCF of 2497,6043
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2497
:1,11,227,2497
Now, list down the factors of 6043
:1,6043
Greatest Common Factor
We found the factors 2497,6043 . The biggest common factor number is the GCF number.
So the greatest common factor 2497,6043 is 1.
Lets's calculate LCM of 187,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 40953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40953
Therefore, the GCF of Fractions 2497/187,6043/219 is 1/40953
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 187,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,219) x common factors =1 x 1 = 1
LCM(187,219) = ( 187 × 219 ) / 1
LCM(187,219) = 40953 / 1
LCM(187,219) = 40953
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2497,6043?
The HCF of 2497,6043 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 2497/187, 6043/219?
Answer: GCF of Numerators as per given numbers 2497/187, 6043/219 is
GCF of Numerators i.e. for 2497,6043 is 1
LCM of denominators i.e. for 187,219 is 40953.
Thus, GCF of Fractions is 1/40953.Finally, GCF of Fractions for 2497/187, 6043/219 is 1/40953.