Use our free GCF of Fractions Calculator tool to compute the GCF of 69/61, 355/73, 350/527 i.e 1/2346731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/61, 355/73, 350/527.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/61,355/73,350/527
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 69/61,355/73,350/527, numerators are 69,355,350
Denominators are 61,73,527
The GCF of 69,355,350 is 1 .
LCM of 61,73,527 is 2346731.
The greatest common factor of 69/61,355/73,350/527 = [GCF of 69,355,350]/[LCM of 61,73,527]= 1/2346731
Therefore, the GCF of 69/61,355/73,350/527 is 1/2346731.
To find the highest common factor of 69,355,350, 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 355 are 1, 5, 71, 355
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
The HCF of 69,355,350 is 1.
Lets's calculate GCF of 69,355,350
∴ 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 355
:1,5,71,355
Now, list down the factors of 350
:1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 69,355,350 . The biggest common factor number is the GCF number.
So the greatest common factor 69,355,350 is 1.
Lets's calculate LCM of 61,73,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 2346731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2346731
Therefore, the GCF of Fractions 69/61,355/73,350/527 is 1/2346731
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 61,73,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,73,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,73,527) x common factors =1 x 1 = 1
LCM(61,73,527) = ( 61 × 73 × 527 ) / 1
LCM(61,73,527) = 2346731 / 1
LCM(61,73,527) = 2346731
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,355,350?
The HCF of 69,355,350 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 69/61, 355/73, 350/527?
Answer: GCF of Numerators as per given numbers 69/61, 355/73, 350/527 is
GCF of Numerators i.e. for 69,355,350 is 1
LCM of denominators i.e. for 61,73,527 is 2346731.
Thus, GCF of Fractions is 1/2346731.Finally, GCF of Fractions for 69/61, 355/73, 350/527 is 1/2346731.