Use our free GCF of Fractions Calculator tool to compute the GCF of 551/821, 525/992 i.e 1/814432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/821, 525/992.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 551/821,525/992
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 551/821,525/992, numerators are 551,525
Denominators are 821,992
The GCF of 551,525 is 1 .
LCM of 821,992 is 814432.
The greatest common factor of 551/821,525/992 = [GCF of 551,525]/[LCM of 821,992]= 1/814432
Therefore, the GCF of 551/821,525/992 is 1/814432.
To find the highest common factor of 551,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 551 are 1, 19, 29, 551
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 551,525 is 1.
Lets's calculate GCF of 551,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 551,525 . The biggest common factor number is the GCF number.
So the greatest common factor 551,525 is 1.
Lets's calculate LCM of 821,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 814432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/814432
Therefore, the GCF of Fractions 551/821,525/992 is 1/814432
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 821,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,992) x common factors =1 x 1 = 1
LCM(821,992) = ( 821 × 992 ) / 1
LCM(821,992) = 814432 / 1
LCM(821,992) = 814432
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 551,525?
The HCF of 551,525 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 551/821, 525/992?
Answer: GCF of Numerators as per given numbers 551/821, 525/992 is
GCF of Numerators i.e. for 551,525 is 1
LCM of denominators i.e. for 821,992 is 814432.
Thus, GCF of Fractions is 1/814432.Finally, GCF of Fractions for 551/821, 525/992 is 1/814432.