Use our free GCF of Fractions Calculator tool to compute the GCF of 5203/536, 2521/4094 i.e 1/1097192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5203/536, 2521/4094.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5203/536,2521/4094
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 5203/536,2521/4094, numerators are 5203,2521
Denominators are 536,4094
The GCF of 5203,2521 is 1 .
LCM of 536,4094 is 1097192.
The greatest common factor of 5203/536,2521/4094 = [GCF of 5203,2521]/[LCM of 536,4094]= 1/1097192
Therefore, the GCF of 5203/536,2521/4094 is 1/1097192.
To find the highest common factor of 5203,2521, we have to find the factors of both numbers and list the highest common factor.
The factors of 5203 are 1, 11, 43, 121, 473, 5203
The factors of 2521 are 1, 2521
The HCF of 5203,2521 is 1.
Lets's calculate GCF of 5203,2521
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5203
:1,11,43,121,473,5203
Now, list down the factors of 2521
:1,2521
Greatest Common Factor
We found the factors 5203,2521 . The biggest common factor number is the GCF number.
So the greatest common factor 5203,2521 is 1.
Lets's calculate LCM of 536,4094
2 | 536, 4094 |
268, 2047 |
∴ So the LCM of the given numbers is 2 x 268 x 2047 = 1097192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1097192
Therefore, the GCF of Fractions 5203/536,2521/4094 is 1/1097192
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 536,4094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,4094) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(536,4094) x common factors =2 x 1 = 2
LCM(536,4094) = ( 536 × 4094 ) / 2
LCM(536,4094) = 2194384 / 2
LCM(536,4094) = 1097192
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5203,2521?
The HCF of 5203,2521 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 5203/536, 2521/4094?
Answer: GCF of Numerators as per given numbers 5203/536, 2521/4094 is
GCF of Numerators i.e. for 5203,2521 is 1
LCM of denominators i.e. for 536,4094 is 1097192.
Thus, GCF of Fractions is 1/1097192.Finally, GCF of Fractions for 5203/536, 2521/4094 is 1/1097192.