Use our free GCF of Fractions Calculator tool to compute the GCF of 2249/380, 5276/9573 i.e 1/3637740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2249/380, 5276/9573.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2249/380,5276/9573
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 2249/380,5276/9573, numerators are 2249,5276
Denominators are 380,9573
The GCF of 2249,5276 is 1 .
LCM of 380,9573 is 3637740.
The greatest common factor of 2249/380,5276/9573 = [GCF of 2249,5276]/[LCM of 380,9573]= 1/3637740
Therefore, the GCF of 2249/380,5276/9573 is 1/3637740.
To find the highest common factor of 2249,5276, we have to find the factors of both numbers and list the highest common factor.
The factors of 2249 are 1, 13, 173, 2249
The factors of 5276 are 1, 2, 4, 1319, 2638, 5276
The HCF of 2249,5276 is 1.
Lets's calculate GCF of 2249,5276
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2249
:1,13,173,2249
Now, list down the factors of 5276
:1,2,4,1319,2638,5276
Greatest Common Factor
We found the factors 2249,5276 . The biggest common factor number is the GCF number.
So the greatest common factor 2249,5276 is 1.
Lets's calculate LCM of 380,9573
Given numbers has no common factors except 1. So, there LCM is their product i.e 3637740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3637740
Therefore, the GCF of Fractions 2249/380,5276/9573 is 1/3637740
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 380,9573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,9573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(380,9573) x common factors =1 x 1 = 1
LCM(380,9573) = ( 380 × 9573 ) / 1
LCM(380,9573) = 3637740 / 1
LCM(380,9573) = 3637740
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2249,5276?
The HCF of 2249,5276 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 2249/380, 5276/9573?
Answer: GCF of Numerators as per given numbers 2249/380, 5276/9573 is
GCF of Numerators i.e. for 2249,5276 is 1
LCM of denominators i.e. for 380,9573 is 3637740.
Thus, GCF of Fractions is 1/3637740.Finally, GCF of Fractions for 2249/380, 5276/9573 is 1/3637740.