Use our free GCF of Fractions Calculator tool to compute the GCF of 30/923, 36/526, 535/769 i.e 1/373347962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/923, 36/526, 535/769.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/923,36/526,535/769
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 30/923,36/526,535/769, numerators are 30,36,535
Denominators are 923,526,769
The GCF of 30,36,535 is 1 .
LCM of 923,526,769 is 373347962.
The greatest common factor of 30/923,36/526,535/769 = [GCF of 30,36,535]/[LCM of 923,526,769]= 1/373347962
Therefore, the GCF of 30/923,36/526,535/769 is 1/373347962.
To find the highest common factor of 30,36,535, 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 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 535 are 1, 5, 107, 535
The HCF of 30,36,535 is 1.
Lets's calculate GCF of 30,36,535
∴ 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 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 535
:1,5,107,535
Greatest Common Factor
We found the factors 30,36,535 . The biggest common factor number is the GCF number.
So the greatest common factor 30,36,535 is 1.
Lets's calculate LCM of 923,526,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 373347962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373347962
Therefore, the GCF of Fractions 30/923,36/526,535/769 is 1/373347962
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 923,526,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,526,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,526,769) x common factors =1 x 1 = 1
LCM(923,526,769) = ( 923 × 526 × 769 ) / 1
LCM(923,526,769) = 373347962 / 1
LCM(923,526,769) = 373347962
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,36,535?
The HCF of 30,36,535 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 30/923, 36/526, 535/769?
Answer: GCF of Numerators as per given numbers 30/923, 36/526, 535/769 is
GCF of Numerators i.e. for 30,36,535 is 1
LCM of denominators i.e. for 923,526,769 is 373347962.
Thus, GCF of Fractions is 1/373347962.Finally, GCF of Fractions for 30/923, 36/526, 535/769 is 1/373347962.