Use our free GCF of Fractions Calculator tool to compute the GCF of 2237/515, 5297/8922 i.e 1/4594830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2237/515, 5297/8922.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2237/515,5297/8922
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 2237/515,5297/8922, numerators are 2237,5297
Denominators are 515,8922
The GCF of 2237,5297 is 1 .
LCM of 515,8922 is 4594830.
The greatest common factor of 2237/515,5297/8922 = [GCF of 2237,5297]/[LCM of 515,8922]= 1/4594830
Therefore, the GCF of 2237/515,5297/8922 is 1/4594830.
To find the highest common factor of 2237,5297, we have to find the factors of both numbers and list the highest common factor.
The factors of 2237 are 1, 2237
The factors of 5297 are 1, 5297
The HCF of 2237,5297 is 1.
Lets's calculate GCF of 2237,5297
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2237
:1,2237
Now, list down the factors of 5297
:1,5297
Greatest Common Factor
We found the factors 2237,5297 . The biggest common factor number is the GCF number.
So the greatest common factor 2237,5297 is 1.
Lets's calculate LCM of 515,8922
Given numbers has no common factors except 1. So, there LCM is their product i.e 4594830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4594830
Therefore, the GCF of Fractions 2237/515,5297/8922 is 1/4594830
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 515,8922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,8922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,8922) x common factors =1 x 1 = 1
LCM(515,8922) = ( 515 × 8922 ) / 1
LCM(515,8922) = 4594830 / 1
LCM(515,8922) = 4594830
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2237,5297?
The HCF of 2237,5297 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 2237/515, 5297/8922?
Answer: GCF of Numerators as per given numbers 2237/515, 5297/8922 is
GCF of Numerators i.e. for 2237,5297 is 1
LCM of denominators i.e. for 515,8922 is 4594830.
Thus, GCF of Fractions is 1/4594830.Finally, GCF of Fractions for 2237/515, 5297/8922 is 1/4594830.