Use our free GCF of Fractions Calculator tool to compute the GCF of 30/528, 572/771, 261/876 i.e 1/9905808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/528, 572/771, 261/876.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/528,572/771,261/876
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 30/528,572/771,261/876, numerators are 30,572,261
Denominators are 528,771,876
The GCF of 30,572,261 is 1 .
LCM of 528,771,876 is 9905808.
The greatest common factor of 30/528,572/771,261/876 = [GCF of 30,572,261]/[LCM of 528,771,876]= 1/9905808
Therefore, the GCF of 30/528,572/771,261/876 is 1/9905808.
To find the highest common factor of 30,572,261, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The factors of 261 are 1, 3, 9, 29, 87, 261
The HCF of 30,572,261 is 1.
Lets's calculate GCF of 30,572,261
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Now, list down the factors of 261
:1,3,9,29,87,261
Greatest Common Factor
We found the factors 30,572,261 . The biggest common factor number is the GCF number.
So the greatest common factor 30,572,261 is 1.
Lets's calculate LCM of 528,771,876
2 | 528, 771, 876 |
2 | 264, 771, 438 |
3 | 132, 771, 219 |
44, 257, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 44 x 257 x 73 = 9905808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9905808
Therefore, the GCF of Fractions 30/528,572/771,261/876 is 1/9905808
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 528,771,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,771,876) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(528,771,876) x common factors =3 x 12 = 36
LCM(528,771,876) = ( 528 × 771 × 876 ) / 36
LCM(528,771,876) = 356609088 / 36
LCM(528,771,876) = 9905808
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,572,261?
The HCF of 30,572,261 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 30/528, 572/771, 261/876?
Answer: GCF of Numerators as per given numbers 30/528, 572/771, 261/876 is
GCF of Numerators i.e. for 30,572,261 is 1
LCM of denominators i.e. for 528,771,876 is 9905808.
Thus, GCF of Fractions is 1/9905808.Finally, GCF of Fractions for 30/528, 572/771, 261/876 is 1/9905808.