Use our free GCF of Fractions Calculator tool to compute the GCF of 541/641, 521/818 i.e 1/524338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 541/641, 521/818.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 541/641,521/818
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 541/641,521/818, numerators are 541,521
Denominators are 641,818
The GCF of 541,521 is 1 .
LCM of 641,818 is 524338.
The greatest common factor of 541/641,521/818 = [GCF of 541,521]/[LCM of 641,818]= 1/524338
Therefore, the GCF of 541/641,521/818 is 1/524338.
To find the highest common factor of 541,521, we have to find the factors of both numbers and list the highest common factor.
The factors of 541 are 1, 541
The factors of 521 are 1, 521
The HCF of 541,521 is 1.
Lets's calculate GCF of 541,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 541
:1,541
Now, list down the factors of 521
:1,521
Greatest Common Factor
We found the factors 541,521 . The biggest common factor number is the GCF number.
So the greatest common factor 541,521 is 1.
Lets's calculate LCM of 641,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 524338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/524338
Therefore, the GCF of Fractions 541/641,521/818 is 1/524338
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 641,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,818) x common factors =1 x 1 = 1
LCM(641,818) = ( 641 × 818 ) / 1
LCM(641,818) = 524338 / 1
LCM(641,818) = 524338
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 541,521?
The HCF of 541,521 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 541/641, 521/818?
Answer: GCF of Numerators as per given numbers 541/641, 521/818 is
GCF of Numerators i.e. for 541,521 is 1
LCM of denominators i.e. for 641,818 is 524338.
Thus, GCF of Fractions is 1/524338.Finally, GCF of Fractions for 541/641, 521/818 is 1/524338.