Use our free GCF of Fractions Calculator tool to compute the GCF of 76/52, 233/11, 521/977 i.e 1/558844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/52, 233/11, 521/977.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/52,233/11,521/977
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 76/52,233/11,521/977, numerators are 76,233,521
Denominators are 52,11,977
The GCF of 76,233,521 is 1 .
LCM of 52,11,977 is 558844.
The greatest common factor of 76/52,233/11,521/977 = [GCF of 76,233,521]/[LCM of 52,11,977]= 1/558844
Therefore, the GCF of 76/52,233/11,521/977 is 1/558844.
To find the highest common factor of 76,233,521, we have to find the factors of both numbers and list the highest common factor.
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 233 are 1, 233
The factors of 521 are 1, 521
The HCF of 76,233,521 is 1.
Lets's calculate GCF of 76,233,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 233
:1,233
Now, list down the factors of 521
:1,521
Greatest Common Factor
We found the factors 76,233,521 . The biggest common factor number is the GCF number.
So the greatest common factor 76,233,521 is 1.
Lets's calculate LCM of 52,11,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 558844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/558844
Therefore, the GCF of Fractions 76/52,233/11,521/977 is 1/558844
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 52,11,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,11,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,11,977) x common factors =1 x 1 = 1
LCM(52,11,977) = ( 52 × 11 × 977 ) / 1
LCM(52,11,977) = 558844 / 1
LCM(52,11,977) = 558844
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 76,233,521?
The HCF of 76,233,521 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 76/52, 233/11, 521/977?
Answer: GCF of Numerators as per given numbers 76/52, 233/11, 521/977 is
GCF of Numerators i.e. for 76,233,521 is 1
LCM of denominators i.e. for 52,11,977 is 558844.
Thus, GCF of Fractions is 1/558844.Finally, GCF of Fractions for 76/52, 233/11, 521/977 is 1/558844.