Use our free GCF of Fractions Calculator tool to compute the GCF of 69/168, 535/311, 484/773 i.e 1/40387704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/168, 535/311, 484/773.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/168,535/311,484/773
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 69/168,535/311,484/773, numerators are 69,535,484
Denominators are 168,311,773
The GCF of 69,535,484 is 1 .
LCM of 168,311,773 is 40387704.
The greatest common factor of 69/168,535/311,484/773 = [GCF of 69,535,484]/[LCM of 168,311,773]= 1/40387704
Therefore, the GCF of 69/168,535/311,484/773 is 1/40387704.
To find the highest common factor of 69,535,484, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 535 are 1, 5, 107, 535
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484
The HCF of 69,535,484 is 1.
Lets's calculate GCF of 69,535,484
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 535
:1,5,107,535
Now, list down the factors of 484
:1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 69,535,484 . The biggest common factor number is the GCF number.
So the greatest common factor 69,535,484 is 1.
Lets's calculate LCM of 168,311,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 40387704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40387704
Therefore, the GCF of Fractions 69/168,535/311,484/773 is 1/40387704
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 168,311,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,311,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(168,311,773) x common factors =1 x 1 = 1
LCM(168,311,773) = ( 168 × 311 × 773 ) / 1
LCM(168,311,773) = 40387704 / 1
LCM(168,311,773) = 40387704
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,535,484?
The HCF of 69,535,484 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 69/168, 535/311, 484/773?
Answer: GCF of Numerators as per given numbers 69/168, 535/311, 484/773 is
GCF of Numerators i.e. for 69,535,484 is 1
LCM of denominators i.e. for 168,311,773 is 40387704.
Thus, GCF of Fractions is 1/40387704.Finally, GCF of Fractions for 69/168, 535/311, 484/773 is 1/40387704.