Use our free GCF of Fractions Calculator tool to compute the GCF of 51/821, 53/228 i.e 1/187188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/821, 53/228.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/821,53/228
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 51/821,53/228, numerators are 51,53
Denominators are 821,228
The GCF of 51,53 is 1 .
LCM of 821,228 is 187188.
The greatest common factor of 51/821,53/228 = [GCF of 51,53]/[LCM of 821,228]= 1/187188
Therefore, the GCF of 51/821,53/228 is 1/187188.
To find the highest common factor of 51,53, we have to find the factors of both numbers and list the highest common factor.
The factors of 51 are 1, 3, 17, 51
The factors of 53 are 1, 53
The HCF of 51,53 is 1.
Lets's calculate GCF of 51,53
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 821,228
Given numbers has no common factors except 1. So, there LCM is their product i.e 187188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187188
Therefore, the GCF of Fractions 51/821,53/228 is 1/187188
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 821,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,228) x common factors =1 x 1 = 1
LCM(821,228) = ( 821 × 228 ) / 1
LCM(821,228) = 187188 / 1
LCM(821,228) = 187188
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 51,53?
The HCF of 51,53 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 51/821, 53/228?
Answer: GCF of Numerators as per given numbers 51/821, 53/228 is
GCF of Numerators i.e. for 51,53 is 1
LCM of denominators i.e. for 821,228 is 187188.
Thus, GCF of Fractions is 1/187188.Finally, GCF of Fractions for 51/821, 53/228 is 1/187188.